Question

x(y-z)^2-a(z-y)^3 Factorize this term

Answer 1

Answer:

Solution(a) x(1 - b) - y(1 - b) =(1-b)(x-y)

(b) 9r(z + 1) + 3r(z+ 1)=(z+1)(9r+3r)=12r(z+1)

(c) p2+ q2+ 5a(p2+ q2)=1(p2+ q2) + 5a(p2+ q2)=(1+5a)(p2+ q2)

(d) x² + x y + 8x + 8y=x(x+y) + 8(x+y)=(x+8)(x+y)

(e) 3(x + y) - 9(x + y)2=3(x+y)[1-3(x+y)]=3(x+y)(1-3x-3y)

(f) l(3m – 7n) - n(3m – 7n)=(l-n)(3m-7n)

(g) (2m – 5) (3a - 2b) - (2m – 5) (2b – 3a)=(2m-5)[3a-2b -(2b-3a)]=6(2m-5)a

(h) x(1 + y) + (7 + 7y)=(x+7)(1+y)

(i) (6xy + 3x) + (2y + 1)=(3x+1)(2y+1)

(j) x(y – z)2 – a(z - y)3=(y-z)2[x-a(z-y)]=(y-z)2(x-az+ay)

(k) z – 7 + 7 x y – x y z=1( z-7) -xy(z-7)=(1-xy)(z-7)

Step-by-step explanation:

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Answer 2

Answer: $(y-z)^{2}[x+a(y-z)]$

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Step-by-step explanation:

$x(y-z)^{2} -a(z-y)^{3}$

$x(y-z)^{2} -a(-1)^{3} (y-z)^{3}$

$x(y-z)^{2} +a(y-z)^{3}$

$(y-z)^{2}[x+a(y-z)]$