What is expand (100sin(pit)-50)^2(0.1) ?

The solution to expand (100sin(pit)-50)^2(0.1) is 1000sin^2(pit)-1000sin(pit)+250

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expand (100sin(pit)-50)^2(0.1)

expand

(100 sin (π t) - 50)^{2} (0.1)

1000 sin^{2} (π t) - 1000 sin (π t) + 250

Solution steps

(100 sin (π t) - 50)^{2} (0.1)

Remove parentheses:

(a) = a

= (100 sin (π t) - 50)^{2} \cdot 0.1

(100 sin (π t) - 50)^{2} = 10000 sin^{2} (π t) - 10000 sin (π t) + 2500

= 0.1 (10000 sin^{2} (π t) - 10000 sin (π t) + 2500)

= 0.1 (10000 sin^{2} (π t) - 10000 sin (π t) + 2500)

Distribute parentheses

= 0.1 \cdot 10000 sin^{2} (π t) + 0.1 (- 10000 sin (π t)) + 0.1 \cdot 2500

Apply minus-plus rules

+ (- a) = - a

= 10000 \cdot 0.1 sin^{2} (π t) - 10000 \cdot 0.1 sin (π t) + 2500 \cdot 0.1

Simplify

10000 \cdot 0.1 sin^{2} (π t) - 10000 \cdot 0.1 sin (π t) + 2500 \cdot 0.1 : 1000 sin^{2} (π t) - 1000 sin (π t) + 250

= 1000 sin^{2} (π t) - 1000 sin (π t) + 250

\frac{4}{( s - 1 ) ^{2} ( s - 3 ) ( s + 1 )}

sin (2 x) + 4 (cos (x) - 4 sin (x) = 4)

2 p (p^{4})

- y (- y^{3} + x + y^{3} ln (y^{3} - x))

- \frac{5}{( x - x ) ^{3}}

What is expand (100sin(pit)-50)^2(0.1) ?
The solution to expand (100sin(pit)-50)^2(0.1) is 1000sin^2(pit)-1000sin(pit)+250