What is (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200) ?

The solution to (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200) is (4(2s^2-70sqrt(2)s-800))/(s^2-3200)

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simplify (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200)

simplify

\frac{4 ( 2 s + 10 ) ( 2 s - 80 )}{s ^{2} - 3200}

\frac{4 ( 2 s ^{2} - 70 2 s - 800 )}{s ^{2} - 3200}

Solution steps

\frac{4 ( 2 s + 10 ) ( 2 s - 80 )}{s ^{2} - 3200}

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

(2 s + 10) (2 s - 80) = 2 s 2 s + 2 s (- 80) + 102 s + 10 (- 80)

= \frac{4 ( 2 s 2 s + 2 s ( - 80 ) + 10 2 s + 10 ( - 80 ) )}{s ^{2} - 3200}

Simplify

2 s 2 s + 2 s (- 80) + 102 s + 10 (- 80) : 2 s^{2} - 702 s - 800

= \frac{4 ( 2 s ^{2} - 70 2 s - 800 )}{s ^{2} - 3200}

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What is (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200) ?
The solution to (4(sqrt(2)s+10)(sqrt(2)s-80))/(s^2-3200) is (4(2s^2-70sqrt(2)s-800))/(s^2-3200)