Multiply: $$( 4 p + 3 ) ( 4 p - 3 )$$
A) $16 p ^ { 2 } - 12 p + 9$
B) $16 p ^ { 2 } + 12 p - 9$
C) $16 p ^ { 2 } + 9$
D) $16 p ^ { 2 } + 24 p + 9$
E) $16 p ^ { 2 } - 9$

Name: Multiply: \[( 4 p + 3 ) ( 4 p - 3 )\] A) $16 p ^ { 2 } - 12 p + 9$ B) $16 p ^ { 2 } + 12 p - 9$ C) $16 p ^ { 2 } + 9$ D) $16 p ^ { 2 } + 24 p + 9$ E) $16 p ^ { 2 } - 9$
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Question

Quizplus · Accepted Answer

The expression is a difference of squares: $(a+b)(a-b) = a^2 - b^2$. Here, $a = 4p$ and $b = 3$, so the result is $ (4p)^2 - 3^2 = 16p^2 - 9$.

Multiply (4p+3)(4p−3)( 4 p + 3 ) ( 4 p - 3 )(4p+3)(4p−3)

Multiply $( 4 p + 3 ) ( 4 p - 3 )$