Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
-$$( 3 x - y + 4 z ) ( 3 x - y - 4 z )$$
A) $9 x ^ { 2 } - 6 x y + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }$
B) $9 x ^ { 2 } - 6 x y + y ^ { 2 } - 16 z ^ { 2 }$
C) $9 x ^ { 2 } + y ^ { 2 } - 16 z ^ { 2 }$
D) $9 x ^ { 2 } + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }$

Question

Quizplus · Accepted Answer

The expression is in the form $(a + b)(a - b)$, which equals $a^2 - b^2$. Here, $a = 3x - y$ and $b = 4z$. So, $(3x - y)^2 - (4z)^2 = 9x^2 - 6xy + y^2 - 16z^2$.

Multiply Using the Rule for the Product of the Sum (3x−y+4z)(3x−y−4z)( 3 x - y + 4 z ) ( 3 x - y - 4 z )(3x−y+4z)(3x−y−4z)

Multiply Using the Rule for the Product of the Sum $( 3 x - y + 4 z ) ( 3 x - y - 4 z )$