Question

Rewrite one twelfth times x cubed times y plus seven twelfths times x times y squared using a common factor.

A) one sixth times x times y times the quantity x squared plus 7 times y end quantity
B) one sixth times x times y times the quantity 2 times x squared plus 7 times y end quantity
C) one twelfth times x times y times the quantity x squared plus 7 times y end quantity
D) one twelfth times x cubed times y squared times the quantity y plus 7 times x end quantity

Answer 1

The common factor of the given expression is xy. Factoring out xy, we get:

one twelfth times x cubed times y plus seven twelfths times x times y squared

= (1/12)xy(x^2) + (7/12)xy(y)

= (xy/12)(x^2 + 7y)

Therefore, the answer is A) one sixth times x times y times the quantity x squared plus 7 times y end quantity.

Explanation: