What is expand 4.9(5-s/(340))^2 ?

The solution to expand 4.9(5-s/(340))^2 is (4.9(2890000-3400s+s^2))/(115600)

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expand 4.9(5-s/(340))^2

expand

4.9 (5 - \frac{s}{340})^{2}

\frac{4.9 ( 2890000 - 3400 s + s ^{2} )}{115600}

Solution steps

4.9 (5 - \frac{s}{340})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 - \frac{s}{340})^{2} = 5^{2} - 2 \cdot 5 \cdot \frac{s}{340} + (\frac{s}{340})^{2}

= 4.9 (5^{2} - 2 \cdot 5 \cdot \frac{s}{340} + (\frac{s}{340})^{2})

Simplify

5^{2} - 2 \cdot 5 \cdot \frac{s}{340} + (\frac{s}{340})^{2} : \frac{2890000 - 3400 s + s ^{2}}{115600}

= 4.9 \cdot \frac{2890000 - 3400 s + s ^{2}}{115600}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4.9 ( 2890000 - 3400 s + s ^{2} )}{115600}

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What is expand 4.9(5-s/(340))^2 ?
The solution to expand 4.9(5-s/(340))^2 is (4.9(2890000-3400s+s^2))/(115600)