Solve (x-2y)(x+2y)-4(y^2+1) | Microsoft Math Solver

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x^{2}-\left(2y\right)^{2}-4\left(y^{2}+1\right)

Consider \left(x-2y\right)\left(x+2y\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

x^{2}-2^{2}y^{2}-4\left(y^{2}+1\right)

Expand \left(2y\right)^{2}.

x^{2}-4y^{2}-4\left(y^{2}+1\right)

Calculate 2 to the power of 2 and get 4.

x^{2}-4y^{2}-4y^{2}-4

Use the distributive property to multiply -4 by y^{2}+1.

x^{2}-8y^{2}-4

Combine -4y^{2} and -4y^{2} to get -8y^{2}.