[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
- Find the product of (3a⁴ + 4)²
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \sf( 3 a ^ { 4 } + 4 ) ^ { 2 }[/tex]
Use binomial theorem [tex]\sf \left(p+q\right)^{2}=p^{2}+2pq+q^{2}[/tex] to expand [tex]\sf\left(3a^{4}+4\right)^{2}[/tex].
[tex] \sf \: 9\left(a^{4}\right)^{2}+24a^{4}+16 [/tex]
To raise a power to another power, multiply the exponents. Multiply 4 by 2 to get 8.
[tex] \boxed{ \boxed{ \bf \: C)\: 9a^{8}+24a^{4}+16 }}[/tex]
