Evaluate
4\left(d-2c\right)\left(4c+3d\right)
Expand
12d^{2}-8cd-32c^{2}
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12d^{2}+16dc-24cd-32c^{2}
Apply the distributive property by multiplying each term of 2d-4c by each term of 6d+8c.
12d^{2}-8dc-32c^{2}
Combine 16dc and -24cd to get -8dc.
12d^{2}+16dc-24cd-32c^{2}
Apply the distributive property by multiplying each term of 2d-4c by each term of 6d+8c.
12d^{2}-8dc-32c^{2}
Combine 16dc and -24cd to get -8dc.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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