Evaluate
4\left(2p+a\right)^{2}
Expand
16p^{2}+16ap+4a^{2}
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4\left(a^{2}+4ap+4p^{2}\right)
Use binomial theorem \left(m+n\right)^{2}=m^{2}+2mn+n^{2} to expand \left(a+2p\right)^{2}.
4a^{2}+16ap+16p^{2}
Use the distributive property to multiply 4 by a^{2}+4ap+4p^{2}.
4\left(a^{2}+4ap+4p^{2}\right)
Use binomial theorem \left(m+n\right)^{2}=m^{2}+2mn+n^{2} to expand \left(a+2p\right)^{2}.
4a^{2}+16ap+16p^{2}
Use the distributive property to multiply 4 by a^{2}+4ap+4p^{2}.
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