Question

Find the value of the given expression: $(2p+3)\times (2p-3)\times (4p^2+9)$

• A. $16p^4-81$
• B. $16p^4+81$
• C. $16p^4+81+72p^2$
• D. $16p^4-81+72p^2$

Answer 1

The correct option is A $16p^4-81$

$(2p+3)(2p-3)(4p^2+9)=\left\{\right(2p{)}^2-\left(3{)}^2\right\}(4p^2+9)=(4p^2-9)(4p^2+9)=(4p^2{)}^2-(9{)}^2=16p^4-81$