Question

Rewrite one tenth times x cubed times y plus two tenths times x times y squared using a common factor.

one tenth times x times y times the quantity x squared plus 2 times y end quantity
one tenth times x cubed times y squared times the quantity y plus 2 times x end quantity
one fifth times x times y times the quantity 2 times x squared plus 2 times y end quantity
one fifth times x times y times the quantity x squared plus 2 times y end quantity

Answer 1

Answer: The expression which can be rewritten using a common factor is; xy/10 (x² + 2y).

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have the following information given as;

One tenth times x cubed times y plus two tenths times x times y squared using a common factor.

We know that 'times' has to be replaced with multiplication.

Now, we will change this into mathematical expression as;

x³y/ 10 + 2xy²/ 10

Now, the common factor can be ;

xy/10

The Common factor refers to the number and the variables taken as a common factor should be able to completely divide the terms given any expression.

Now, taking it as a common factor, we have the following expression:

xy/10 (x² + 2y)

Hence, the required expression is; xy/10 (x² + 2y).

Explanation: