Find the product.
-$$( 6 x - 4 y + 5 ) ( 6 x - 4 y - 5 )$$
A) $- 48 x y - 30 x + - 20 y - 25$
B) $12 x ^ { 2 } - 8 y ^ { 2 } - 50$
C) $36 x ^ { 2 } + 48 x y - 16 y ^ { 2 } - 50$
D) $36 x ^ { 2 } - 48 x y + 16 y ^ { 2 } - 25$

Question

Quizplus · Accepted Answer

This is a product of two binomials that resemble the difference of squares formula, $a^2 - b^2 = (a + b)(a - b)$. Applying this to the given expression, where $a = 6x$ and $b = 4y$, we get $36x^2 - 16y^2$. However, there's also the $5$ and $-5$ which when multiplied give $25$, leading to the final expression $36x^2 - 16y^2 - 25$, which matches option D.

Find the Product (6x−4y+5)(6x−4y−5)( 6 x - 4 y + 5 ) ( 6 x - 4 y - 5 )(6x−4y+5)(6x−4y−5)

Find the Product $( 6 x - 4 y + 5 ) ( 6 x - 4 y - 5 )$