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25y^{2}
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25y^{2}
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16x^{2}-40xy+25y^{2}-8x\left(2x-5y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-5y\right)^{2}.
16x^{2}-40xy+25y^{2}-16x^{2}+40xy
Use the distributive property to multiply -8x by 2x-5y.
-40xy+25y^{2}+40xy
Combine 16x^{2} and -16x^{2} to get 0.
25y^{2}
Combine -40xy and 40xy to get 0.
16x^{2}-40xy+25y^{2}-8x\left(2x-5y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4x-5y\right)^{2}.
16x^{2}-40xy+25y^{2}-16x^{2}+40xy
Use the distributive property to multiply -8x by 2x-5y.
-40xy+25y^{2}+40xy
Combine 16x^{2} and -16x^{2} to get 0.
25y^{2}
Combine -40xy and 40xy to get 0.
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