Question

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

one fourth times x times y times the quantity x squared plus 3 times y end quantity
one fourth times x cubed times y squared times the quantity y plus 3 times x end quantity
one half times x times y times the quantity 2 times x squared plus 6 times y end quantity
one half times x times y times the quantity x squared plus 3 times y end quantity

Answer 1

The expression "one fourth times x cubed times y plus three fourths times x times y squared" can be rewritten using a common factor. To do this, we need to identify the common factor in both terms.

In this case, the common factor is "x times y". We can factor out "x times y" from both terms and write the expression as follows:

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

Let's break it down step by step:

1. The common factor in both terms is "x times y".

2. Factoring out "x times y" from the first term, "x cubed times y", we get "x times y times x squared".

3. Factoring out "x times y" from the second term, "three fourths times x times y squared", we get "3 times y".

4. Putting it all together, we get "one fourth times x times y times the quantity x squared plus 3 times y end quantity".

So the correct answer is:

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

This expression represents the original expression with a common factor factored out.

Explanation: