Question

Write as a product of two polynomials a) 3a(2x–7)+5b(7–2x) b) (x–y)^2–a(y–x)

Answer 1

Answer:

a) (3a-5b)(2x-7) or (-3a+5b)(7-2x)

b) (x-y)(x-y+a) or (y-x)(y-x-a)

Step-by-step explanation:

a) 3a(2x-7)+5b(-(-7+2x))

3a(2x-7)-5b(2x-7)

(3a-5b)(2x-7)

3a(-(-2x+7))+5b(7-2x)

-3a(7-2x)+5b(7-2x)

(-3a+5b)(7-2x)

b)(x-y)^2-a(-(-y+x))

(x-y)^2+a(x-y)

(x-y)(x-y+a)

(-1(-x+y))^2-a(y-x)

(1(y-x)^2-a(y-x)

(y-x)(y-x-a)