Question

Please help!!

Write as a product of two polynomials.

2(3–b)+5(b–3)^2

Answer 1

2(3-b)+5(b-3)² can be written as product of (5b-17)(b-3).

To find:

Writing 2(3-b)+5(b-3)² as product of two polynomials.

Step-by-step explanation:

We can write given expression as

2(3-b)+ 5(b-3)(b-3)= 2(3-b)+5(b²+9-6b)

                              =6-2b+5b²+45-30b

                              = 5b²-32b+51

                              = 5b²-15b-17b+51= 5b(b-3)-17(b-3)

                              = (5b-17)(b-3)

∴ 2(3-b)+5(b-3)² can be written as product of (5b-17)(b-3).

#SPJ1