Question

The common factor of the terms given in the expression $99x^2{y}^3-11x^3{y}^3+55x^5{y}^5$ is .

• A. $x^2{y}^3$
• B. $9x^2{y}^2$
• C. $5x^3{y}^3$
• D. $11x^2{y}^3$

Answer 1

The correct option is D $11x^2{y}^3$

Given polynomial: $99x^2{y}^2-11x^3{y}^3+55x^5{y}^5$

Let's factorise term by term.
$99x^2{y}^3=9\times 11\times x\times x\times y\times y\times y-11x^3{y}^3=-1\times 11\times x\times x\times x\times y\times y\times y55x^5{y}^5=5\times 11\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y$

Hence the common factor among these three terms will be $11\times x\times x\times y\times y\times y=11x^2{y}^3$