Question

Which expression is equivalent to (7a²b + 10a²b² + 14a²b³)?

a) (ab(7a² + 10ab + 1462))
b) (a-b(7 + 105 + 1462))
c) (7a²(b + 3b² + 763))
d) (7a²b³(b² + 3b + 7))

Answer 1

The expression (7a²b + 10a²b² + 14a²b³) is equivalent to (7a²b(1 + 10b + 14b²)). The correct equivalent expression is (ab(7a² + 10ab + 1462)).

Step-by-step explanation:

The expression (7a²b + 10a²b² + 14a²b³) can be factored to 7a²b(1 + 10b + 14b²). So, the equivalent expression is (7a²b(1 + 10b + 14b²)). Therefore, option a) (ab(7a² + 10ab + 1462)) is the correct answer.