Multiply. Assume that variables used as exponents represent positive integers.
-$$\left( x ^ { a } + 7 y ^ { 2 b } \right) \left( x ^ { a } - 7 y ^ { 2 b } \right)$$
A) $x ^ { 2 a } - 14 x ^ { a } y ^ { 2 b } - 49 y 4 b$
B) $x ^ { 2 a } + 14 x ^ { a } y ^ { 2 b } - 49 y 4 b$
C) $x ^ { 2 } a - 14 y 4 b$
D) $x ^ { 2 a } - 49 y 4 b$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = x^a$ and $b = 7y^{2b}$, so the product is $x^{2a} - (7y^{2b})^2 = x^{2a} - 49y^{4b}$.

Multiply Assume That Variables Used as Exponents Represent Positive Integers (xa+7y2b)(xa−7y2b)\left( x ^ { a } + 7 y ^ { 2 b } \right) \left( x ^ { a } - 7 y ^ { 2 b } \right)(xa+7y2b)(xa−7y2b)

Multiply Assume That Variables Used as Exponents Represent Positive Integers $\left( x ^ { a } + 7 y ^ { 2 b } \right) \left( x ^ { a } - 7 y ^ { 2 b } \right)$