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\left(4x\right)^{2}-\left(5y\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4^{2}x^{2}-\left(5y\right)^{2}
Expand \left(4x\right)^{2}.
16x^{2}-\left(5y\right)^{2}
Calculate 4 to the power of 2 and get 16.
16x^{2}-5^{2}y^{2}
Expand \left(5y\right)^{2}.
16x^{2}-25y^{2}
Calculate 5 to the power of 2 and get 25.
\left(4x\right)^{2}-\left(5y\right)^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
4^{2}x^{2}-\left(5y\right)^{2}
Expand \left(4x\right)^{2}.
16x^{2}-\left(5y\right)^{2}
Calculate 4 to the power of 2 and get 16.
16x^{2}-5^{2}y^{2}
Expand \left(5y\right)^{2}.
16x^{2}-25y^{2}
Calculate 5 to the power of 2 and get 25.