Question

Rewrite one fourth times x cubed times y plus three fourths times x times y squared using a common factor.

a. one fourth times x times y times the quantity x squared plus 3 times y end quantity
b. one fourth times x cubed times y squared times the quantity y plus 3 times x end quantity
c. one half times x times y times the quantity 2 times x squared plus 6 times y end quantity
d. one half times x times y times the quantity x squared plus 3 times y end quantity

Answer 1

To rewrite the expression, factor out the common terms x and y. The final expression is one fourth times x times y times the quantity x squared plus 3 times y.

Step-by-step explanation:

To rewrite the expression one fourth times x cubed times y plus three fourths times x times y squared using a common factor, we need to factor out the common terms. The common terms in this expression are x and y. So, we can factor out x and y from both terms:

• one fourth times x cubed times y = one fourth times x times y times x squared
• three fourths times x times y squared = three fourths times x times y times y

Putting these together, we get:

one fourth times x times y times the quantity x squared plus 3 times y