Multiply.
-$\left( x + \frac { 5 } { 6 } y \right) \left( x - \frac { 5 } { 6 } y \right)$
A) $x ^ { 2 } - 25 y ^ { 2 }$
B) $x ^ { 2 } - 25 x y - 6 y ^ { 2 }$
C) $x ^ { 2 } - \frac { 25 } { 36 } y ^ { 2 }$
D) $x ^ { 2 } + 25 x y - 6 y ^ { 2 }$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Here, $a = x$ and $b = \frac{5}{6}y$, so $a^2 - b^2 = x^2 - \left(\frac{5}{6}y\right)^2 = x^2 - \frac{25}{36}y^2$.

Multiply - (x+56y)(x−56y)\left( x + \frac { 5 } { 6 } y \right) \left( x - \frac { 5 } { 6 } y \right)(x+65​y)(x−65​y)

Multiply
- $\left( x + \frac { 5 } { 6 } y \right) \left( x - \frac { 5 } { 6 } y \right)$