1472 Scoateţi factor comun

1473 Să se verifice că

192 Folosind şi metoda factorului comun simplificaţi fracţiile următoare

141 Folosind şi metoda factorului comun să se simplifice fracţiile

f1 = f2 = f3 =

f4 = f5 = f6 =

f7 = f8 = f9 =

f10 = f11 = f12 =

Exemplu nr 3 Scoateţi factor comun

a = + 27 ndash 36 + 81 ndash 72 b = ndash 24 + 48 ndash 96 + 72 c =+125 ndash 75 +50 ndash 25

d = ndash 88 + 66 ndash 22 + 110 e = ndash 125 + 75 ndash 150 ndash 225 + 600 ndash 325 + 1775

Exemplu nr 5 Scoateţi factor comun

a = 36 ndash 3x b = 45x ndash 15 c = 8x ndash 4x ndash 16 d = 3x ndash 2x

e = 5x ndash 7x + + 11x f = 9x ndash 3x g = 14 x ndash 7x h = 9x ndash 27x ndash 36x Scoateţi factor comun şi efectuaţi icircn paranteză (reduceţi termenii asemenea) s1 = ndash 35 +15 ndash 40 + 55 ndash 60 = (+5)( ndash 7 + 3 ndash 8 +11ndash12) = (+ 5)(ndash13) = ndash 65

s2 = + 24 ndash 60 + 48 ndash 72 = (+12) ( 2 ndash 5 + 4 ndash 6 ) = (+ 12) (ndash 5) = ndash 60 s3 = +3x ndash 2x = x(+3 ndash 2) = x(+ 1) = + 1x = + x

s4 = + 7y ndash 7y =(+ y)(7 ndash7 )= 0 s5 = +9x ndash 18x + 27x = + 9x(+ 2) = + 18x

s5 = + 3z ndash 2z + 4z ndash 6z = (+z)(+3 ndash2 + 4 ndash 6) = (+z)( ndash1) = ndash z

s6 = +9x ndash 18x + 27x ndash 36x + 45x ndash 54x = +9x(1 ndash 2 + 3 ndash 4 + 5 ndash 6) = ndash 27x

s7 = (2mx ndash m) + (2px ndash p) = m(2x ndash 1) + p(2x ndash 1) = (2x ndash 1) (m + p)

Cercetaţi dacă putem scoate factor comuna) pe +6 din s1 = +18 + 30 ndash 72 + 726pe ndash15 din s2 = ndash 45 + 90 ndash 195 + 240

465 Pentru suma s = + 3360 ndash 5040 + 11760 ndash 18480 scoateţi factor

comun pe a) ndash 4 b) + 5 c) ndash 7 d) + 48 e) cel mai mare factor comun

468 Scoateţi factor comun

a = 75 ndash 5x b = 27x ndash 81 c = 24x ndash 36x + 72 d = 5x ndash 4x

e = 7x ndash 9x + 13x f = 28x ndash 7x g = 32x ndash 24x h = 42x ndash 56x + 63x

I = ndash 9x + 7x ndash 6x + 15x j = +8x2 ndash 4x2 + 12x2 ndash 16x2 k = 5ab + 3a2b ndash 2ab2

469 Scoateţi factor comun

a = 2xy ndash 4x b = 2xy ndash 4y c = 2xy ndash 4yz d = 8xyz ndash 8xyz e = 10xz ndash 15yz

f = 4x2 ndash 4x g = 19x2 ndash 38x3 h = 30x2y ndash 15x2 i = 60xy2 ndash 45y2

j = 48xz2 ndash 60x2y k = 50xy2z2 ndash 75x2yz2 + 125x2y2z l = (3x2y)3 ndash(9xy2)2m = 4x2y3z4 ndash 16x3y4z5 + 12x4y5z6 n = 2(a +1) ndash 3(a + 1) + 7(a + 1)

470 Scoateţi factor comun şi efectuaţi in paranteză (reduceţi termenii

asemenea)a = + 9 ndash 12 + 15 ndash 18 b = +25 ndash 75 + 100 ndash 125 c = ndash 64 + 80 ndash 88 + 72 d = 4x ndash 5x + 7x e = 2x ndash 4x + 2x f = 5x ndash 4x + 6x ndash 7x + 19x ndash 19x g = ndash 7z + 8z + 11zndash22z+31zndash36z h = 4y ndash 6y + 8y ndash 10y + 12y ndash 14y

471 Scoateţi factor comun

a = 22middot3 ndash 2middot32 b = 22middot34 ndash 24middot33 + 23middot34 ndash 24middot32

c = 2middot32middotmiddot5 + 22middot3middot52 ndash 22middot32middot5 + 22middot33middot52 d = 5m7m+1 ndash 5m+17ne = 2mmiddot3 ndash 2mmiddot5 f = 2mmiddot5 + 2mmiddot7 ndash 2mmiddot11 g = 2mmiddot3 + 2m+1 ndash 2m+2 ndash 2m

h = 2m+1middot5 + 2m+2middot7 ndash 2m+3middot3 i = 2mmiddot3n ndash 2m+1middot3n + 2mmiddot3n+1

j = 2mmiddot3nmiddot5 ndash 2mmiddot3nmiddot7 + 2m+1middot3n ndash 2mmiddot3n+1 k = 2m3n ndash 2233 +2m+13n+2

s2 = + 24 ndash 60 + 48 ndash 72 = (+12) ( 2 ndash 5 + 4 ndash 6 ) = (+ 12) (ndash 5) = ndash 60 s3 = +3x ndash 2x = x(+3 ndash 2) = x(+ 1) = + 1x = + x

s4 = + 7y ndash 7y =(+ y)(7 ndash7 )= 0 s5 = +9x ndash 18x + 27x = + 9x(+ 2) = + 18x

s5 = + 3z ndash 2z + 4z ndash 6z = (+z)(+3 ndash2 + 4 ndash 6) = (+z)( ndash1) = ndash z

s6 = +9x ndash 18x + 27x ndash 36x + 45x ndash 54x = +9x(1 ndash 2 + 3 ndash 4 + 5 ndash 6) = ndash 27x

s7 = (2mx ndash m) + (2px ndash p) = m(2x ndash 1) + p(2x ndash 1) = (2x ndash 1) (m + p)

Cercetaţi dacă putem scoate factor comuna) pe +6 din s1 = +18 + 30 ndash 72 + 726pe ndash15 din s2 = ndash 45 + 90 ndash 195 + 240

465 Pentru suma s = + 3360 ndash 5040 + 11760 ndash 18480 scoateţi factor

comun pe a) ndash 4 b) + 5 c) ndash 7 d) + 48 e) cel mai mare factor comun

468 Scoateţi factor comun

a = 75 ndash 5x b = 27x ndash 81 c = 24x ndash 36x + 72 d = 5x ndash 4x

e = 7x ndash 9x + 13x f = 28x ndash 7x g = 32x ndash 24x h = 42x ndash 56x + 63x

I = ndash 9x + 7x ndash 6x + 15x j = +8x2 ndash 4x2 + 12x2 ndash 16x2 k = 5ab + 3a2b ndash 2ab2

469 Scoateţi factor comun

a = 2xy ndash 4x b = 2xy ndash 4y c = 2xy ndash 4yz d = 8xyz ndash 8xyz e = 10xz ndash 15yz

f = 4x2 ndash 4x g = 19x2 ndash 38x3 h = 30x2y ndash 15x2 i = 60xy2 ndash 45y2

j = 48xz2 ndash 60x2y k = 50xy2z2 ndash 75x2yz2 + 125x2y2z l = (3x2y)3 ndash(9xy2)2m = 4x2y3z4 ndash 16x3y4z5 + 12x4y5z6 n = 2(a +1) ndash 3(a + 1) + 7(a + 1)

470 Scoateţi factor comun şi efectuaţi in paranteză (reduceţi termenii

asemenea)a = + 9 ndash 12 + 15 ndash 18 b = +25 ndash 75 + 100 ndash 125 c = ndash 64 + 80 ndash 88 + 72 d = 4x ndash 5x + 7x e = 2x ndash 4x + 2x f = 5x ndash 4x + 6x ndash 7x + 19x ndash 19x g = ndash 7z + 8z + 11zndash22z+31zndash36z h = 4y ndash 6y + 8y ndash 10y + 12y ndash 14y

471 Scoateţi factor comun

a = 22middot3 ndash 2middot32 b = 22middot34 ndash 24middot33 + 23middot34 ndash 24middot32

c = 2middot32middotmiddot5 + 22middot3middot52 ndash 22middot32middot5 + 22middot33middot52 d = 5m7m+1 ndash 5m+17ne = 2mmiddot3 ndash 2mmiddot5 f = 2mmiddot5 + 2mmiddot7 ndash 2mmiddot11 g = 2mmiddot3 + 2m+1 ndash 2m+2 ndash 2m

h = 2m+1middot5 + 2m+2middot7 ndash 2m+3middot3 i = 2mmiddot3n ndash 2m+1middot3n + 2mmiddot3n+1

j = 2mmiddot3nmiddot5 ndash 2mmiddot3nmiddot7 + 2m+1middot3n ndash 2mmiddot3n+1 k = 2m3n ndash 2233 +2m+13n+2