Multiply the expression as you would multiply polynomials. $$\left( a ^ { 11 / 2 } + b ^ { 3 / 2 } \right) \left( a ^ { 11 / 2 } - b ^ { 3 / 2 } \right)$$
A) $\quad a ^ { 11 } - b ^ { 3 }$
B) $\quad ( a + b ) ^ { 4 }$
C) $\quad ( a - b ) ^ { 7 }$
D) $\quad a ^ { 22 } - b ^ { 6 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a^{11/2}$ and $b^{3/2}$ are squared to get $a^{11}$ and $b^3$, respectively.

Multiply the Expression as You Would Multiply Polynomials (a11/2+b3/2)(a11/2−b3/2)\left( a ^ { 11 / 2 } + b ^ { 3 / 2 } \right) \left( a ^ { 11 / 2 } - b ^ { 3 / 2 } \right)(a11/2+b3/2)(a11/2−b3/2)

Multiply the Expression as You Would Multiply Polynomials $\left( a ^ { 11 / 2 } + b ^ { 3 / 2 } \right) \left( a ^ { 11 / 2 } - b ^ { 3 / 2 } \right)$