Evaluate
8a\left(2a+b\right)
Expand
16a^{2}+8ab
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32a^{2}+8ab-\left(-4a\right)^{2}
Use the distributive property to multiply 2a by 16a+4b.
32a^{2}+8ab-\left(-4\right)^{2}a^{2}
Expand \left(-4a\right)^{2}.
32a^{2}+8ab-16a^{2}
Calculate -4 to the power of 2 and get 16.
16a^{2}+8ab
Combine 32a^{2} and -16a^{2} to get 16a^{2}.
32a^{2}+8ab-\left(-4a\right)^{2}
Use the distributive property to multiply 2a by 16a+4b.
32a^{2}+8ab-\left(-4\right)^{2}a^{2}
Expand \left(-4a\right)^{2}.
32a^{2}+8ab-16a^{2}
Calculate -4 to the power of 2 and get 16.
16a^{2}+8ab
Combine 32a^{2} and -16a^{2} to get 16a^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}