Evaluate
\left(7y-3x\right)\left(4x+y\right)
Expand
7y^{2}+25xy-12x^{2}
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28xy-12x^{2}+7y^{2}-3yx
Apply the distributive property by multiplying each term of 4x+y by each term of 7y-3x.
25xy-12x^{2}+7y^{2}
Combine 28xy and -3yx to get 25xy.
28xy-12x^{2}+7y^{2}-3yx
Apply the distributive property by multiplying each term of 4x+y by each term of 7y-3x.
25xy-12x^{2}+7y^{2}
Combine 28xy and -3yx to get 25xy.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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Simultaneous equation
\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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