Question

PLSSS ANSWER, 35 pointss
Write as a product of two polynomials.

1. x(y–5)–y(5–y)
2. (x–y)^2–a(y–x)
3. 2(3–b)+5(b–3)^2

Answer 1

Answer:

1.

$(y - 5)(x + y)$

2.

${(x - y)}(x - y + a)$

3.

$(b - 3)(5b - 17)$

Step-by-step explanation:

1. The given polynomial is

$x(y - 5) - y(5 - y)$

We need to factor the second part to get:

$x(y - 5) + y(y - 5)$

We factor y-5 to obtain:

$(y - 5)(x + y)$

2. We have

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

We again factor -1 from the second part to get:

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

We now factor x-y to get:

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

${(x - y)}(x - y + a)$

3. We have

$2(3 - b) + 5 {(b - 3})^{2}$

We factor negative 1 from the first part to get

$- 2(b - 3) + 5 {(b - 3})^{2}$

We now factor b-3 to get:

$(b - 3)( - 2 + 5(b - 3))$

We now simplify to get:

$(b - 3)( - 2 + 5b - 15) = (b - 3)(5b - 17)$