What is expand (6-8.5sin(x))^2 ?

The solution to expand (6-8.5sin(x))^2 is 36-102sin(x)+72.25sin^2(x)

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expand (6-8.5sin(x))^2

expand

(6 - 8.5 sin (x))^{2}

36 - 102 sin (x) + 72.25 sin^{2} (x)

Solution steps

(6 - 8.5 sin (x))^{2}

Apply Perfect Square Formula:

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

(6 - 8.5 sin (x))^{2} = 6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2}

= 6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2}

Simplify

6^{2} - 2 \cdot 6 \cdot 8.5 sin (x) + (8.5 sin (x))^{2} : 36 - 102 sin (x) + 72.25 sin^{2} (x)

= 36 - 102 sin (x) + 72.25 sin^{2} (x)

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What is expand (6-8.5sin(x))^2 ?
The solution to expand (6-8.5sin(x))^2 is 36-102sin(x)+72.25sin^2(x)