Evaluate
\left(4x^{2}-25\right)^{2}
Expand
16x^{4}-200x^{2}+625
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\left(4x^{2}+20x+25\right)\left(2x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
\left(4x^{2}+20x+25\right)\left(4x^{2}-20x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
16x^{4}-200x^{2}+625
Use the distributive property to multiply 4x^{2}+20x+25 by 4x^{2}-20x+25 and combine like terms.
\left(4x^{2}+20x+25\right)\left(2x-5\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+5\right)^{2}.
\left(4x^{2}+20x+25\right)\left(4x^{2}-20x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
16x^{4}-200x^{2}+625
Use the distributive property to multiply 4x^{2}+20x+25 by 4x^{2}-20x+25 and combine like terms.
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