Evaluate
2\left(2a-5b\right)^{2}
Expand
8a^{2}-40ab+50b^{2}
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2\left(4a^{2}-20ab+25b^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-5b\right)^{2}.
8a^{2}-40ab+50b^{2}
Use the distributive property to multiply 2 by 4a^{2}-20ab+25b^{2}.
2\left(4a^{2}-20ab+25b^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2a-5b\right)^{2}.
8a^{2}-40ab+50b^{2}
Use the distributive property to multiply 2 by 4a^{2}-20ab+25b^{2}.
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