Factor
\frac{y^{2}\left(3xy-2\right)\left(3xy+2\right)}{16}
Evaluate
\frac{y^{2}\left(9\left(xy\right)^{2}-4\right)}{16}
Quiz
Algebra
5 problems similar to:
\frac { 9 x ^ { 2 } y ^ { 4 } } { 16 } - \frac { y ^ { 2 } } { 4 }
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\frac{9x^{2}y^{4}-4y^{2}}{16}
Factor out \frac{1}{16}.
y^{2}\left(9x^{2}y^{2}-4\right)
Consider 9x^{2}y^{4}-4y^{2}. Factor out y^{2}.
\left(3xy-2\right)\left(3xy+2\right)
Consider 9x^{2}y^{2}-4. Rewrite 9x^{2}y^{2}-4 as \left(3xy\right)^{2}-2^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\frac{y^{2}\left(3xy-2\right)\left(3xy+2\right)}{16}
Rewrite the complete factored expression.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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