Question

Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?

ab(7a^2 + 10ab + 14b^2)
a^2b(7 + 10b + 14b^2)
7a^2(b + 3b^2 + 7b^3)
7a^2b^3(b^2 + 3b + 7)

Answer 1

a^2b(7 + 10b + 14b^2)

Use wolframalpha for math questions, or photomath!

To solve this, factor out a^2b from the expression.

Answer 2

For this case we must indicate an expression equivalent to:

`7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3`

We must draw the common term of the three terms, we have:

`a ^ 2b (7 + 10b + 14b ^ 2)`

So:

`7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3 = a ^ 2b (7 + 10b + 14b ^ 2)`

Answer:

`a ^ 2b (7 + 10b + 14b ^ 2)`

Option B