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Write as a product of two polynomials.

2(3–b)+5(b–3)^2

User Crazyshezy
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2 Answers

5 votes

Answer:

5b2-32b+51


Explanation:

2(3–b)+5(b–3)^2

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

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

5b2-32b+51

User Carene
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1 vote

Sure, let's go ahead and factor the expression 2(3–b)+5(b–3)^2.

Step 1: Rewrite the expression with a common factor

The expression is 2(3–b)+5(b–3)^2. We can see that (b-3) is a common factor. But be careful here, the sign in front of b is not the same in the both instances. To make it the same, we can rewrite 2(3–b) as -2(b-3). Therefore, the expression becomes -2(b-3)+5(b–3)^2.

Step 2: Factor out the common element

Now that we have (b-3) as a common factor in both terms, we can factor it out. When we factor out (b-3) from both terms, the expression becomes (b-3)[-2+5(b-3)].

Step 3: Simplify the Expression

You can further simplify the expression by multiplying 5 with (b-3) in the second term of the expression inside the brackets. You get (b-3)(5b -15 - 2) which can be simplified further to (2+5*(b-3))*(b-3).

So the expression 2(3–b)+5(b–3)^2 is equal to (2+5*(b-3))*(b-3) when written as a product of two polynomials.

User John Bananas
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