Evaluate
8\left(a+b\right)^{2}
Expand
8a^{2}+16ab+8b^{2}
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2\left(a+b\right)^{2}\times 4
Multiply a+b and a+b to get \left(a+b\right)^{2}.
2\left(a^{2}+2ab+b^{2}\right)\times 4
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
8\left(a^{2}+2ab+b^{2}\right)
Multiply 2 and 4 to get 8.
8a^{2}+16ab+8b^{2}
Use the distributive property to multiply 8 by a^{2}+2ab+b^{2}.
2\left(a+b\right)^{2}\times 4
Multiply a+b and a+b to get \left(a+b\right)^{2}.
2\left(a^{2}+2ab+b^{2}\right)\times 4
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
8\left(a^{2}+2ab+b^{2}\right)
Multiply 2 and 4 to get 8.
8a^{2}+16ab+8b^{2}
Use the distributive property to multiply 8 by a^{2}+2ab+b^{2}.
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Limits
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