What is expand (100sin(pit)-50)^2(0.01) ?

The solution to expand (100sin(pit)-50)^2(0.01) is 100sin^2(pit)-100sin(pit)+25

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expand (100sin(pit)-50)^2(0.01)

expand

(100 sin (π t) - 50)^{2} (0.01)

100 sin^{2} (π t) - 100 sin (π t) + 25

Solution steps

(100 sin (π t) - 50)^{2} (0.01)

Remove parentheses:

(a) = a

= (100 sin (π t) - 50)^{2} \cdot 0.01

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

= 0.01 (10000 sin^{2} (π t) - 10000 sin (π t) + 2500)

= 0.01 (10000 sin^{2} (π t) - 10000 sin (π t) + 2500)

Distribute parentheses

= 0.01 \cdot 10000 sin^{2} (π t) + 0.01 (- 10000 sin (π t)) + 0.01 \cdot 2500

Apply minus-plus rules

+ (- a) = - a

= 10000 \cdot 0.01 sin^{2} (π t) - 10000 \cdot 0.01 sin (π t) + 2500 \cdot 0.01

Simplify

10000 \cdot 0.01 sin^{2} (π t) - 10000 \cdot 0.01 sin (π t) + 2500 \cdot 0.01 : 100 sin^{2} (π t) - 100 sin (π t) + 25

= 100 sin^{2} (π t) - 100 sin (π t) + 25

(f (x) = 2 x - 3) (h (x))

\frac{x ( x + h ) ^{3} - ( x ^{3} )}{h}

\frac{5 ( 2 x + 9 )}{12}

\frac{1}{2 ( 1 + 2 h ) [ 6 + 6 h ]}

v (0) f (0, - \frac{1}{39})

What is expand (100sin(pit)-50)^2(0.01) ?
The solution to expand (100sin(pit)-50)^2(0.01) is 100sin^2(pit)-100sin(pit)+25