What is expand 2(16+1/5 x)^2-(20+1/4 x)^2 ?

The solution to expand 2(16+1/5 x)^2-(20+1/4 x)^2 is (2(6400+160x+x^2))/(25)-(6400+160x+x^2)/(16)

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expand 2(16+1/5 x)^2-(20+1/4 x)^2

expand

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

\frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}

Solution steps

2 (16 + \frac{1}{5} x)^{2} - (20 + \frac{1}{4} x)^{2}

Expand

2 (16 + \frac{1}{5} x)^{2} : 2 \cdot \frac{6400 + 160 x + x ^{2}}{25}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - (20 + \frac{1}{4} x)^{2}

Expand

- (20 + \frac{1}{4} x)^{2} : - \frac{6400 + 160 x + x ^{2}}{16}

= 2 \cdot \frac{6400 + 160 x + x ^{2}}{25} - \frac{6400 + 160 x + x ^{2}}{16}

Simplify

2 \cdot \frac{6400 + 160 x + x ^{2}}{25} : \frac{2 ( 6400 + 160 x + x ^{2} )}{25}

= \frac{2 ( 6400 + 160 x + x ^{2} )}{25} - \frac{6400 + 160 x + x ^{2}}{16}

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What is expand 2(16+1/5 x)^2-(20+1/4 x)^2 ?
The solution to expand 2(16+1/5 x)^2-(20+1/4 x)^2 is (2(6400+160x+x^2))/(25)-(6400+160x+x^2)/(16)