Question

Rewrite the expression by factoring out (v-9): 2v²(v-9) 5(v−9)

a) 2v² + 5
b) (v-9)(2v² + 5)
c) 2v² - 5
d) (v-9)(2v² - 5)

Answer 1

The expression 2v²(v-9) + 5(v−9) is rewritten by factoring out the common factor (v-9), resulting in (v-9)(2v² + 5).

Step-by-step explanation:

The expression 2v²(v-9) + 5(v−9) can be rewritten by factoring out the common factor, which is (v-9). Factoring out (v-9) from both terms, we get:

• (v-9) is factored out from the first term: 2v²
• (v-9) is also factored out from the second term: + 5

Combining both factored terms, the expression becomes: (v-9)(2v² + 5)

Therefore, the correct answer is option b): (v-9)(2v² + 5).