What is expand (-7sin(x)+7sin(7x))^2 ?

The solution to expand (-7sin(x)+7sin(7x))^2 is 49sin^2(x)-98sin(x)sin(7x)+49sin^2(7x)

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expand (-7sin(x)+7sin(7x))^2

expand

(- 7 sin (x) + 7 sin (7 x))^{2}

49 sin^{2} (x) - 98 sin (x) sin (7 x) + 49 sin^{2} (7 x)

Solution steps

(- 7 sin (x) + 7 sin (7 x))^{2}

Apply Perfect Square Formula:

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

(- 7 sin (x) + 7 sin (7 x))^{2} = (- 7 sin (x))^{2} + 2 (- 7 sin (x)) \cdot 7 sin (7 x) + (7 sin (7 x))^{2}

= (- 7 sin (x))^{2} + 2 (- 7 sin (x)) \cdot 7 sin (7 x) + (7 sin (7 x))^{2}

Simplify

(- 7 sin (x))^{2} + 2 (- 7 sin (x)) \cdot 7 sin (7 x) + (7 sin (7 x))^{2} : 49 sin^{2} (x) - 98 sin (x) sin (7 x) + 49 sin^{2} (7 x)

= 49 sin^{2} (x) - 98 sin (x) sin (7 x) + 49 sin^{2} (7 x)

\frac{1}{( x - a ) ( x - b )}

(5 x + y)^{6}

(- 3, 2) y (6, - 4)

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

(4 x^{\frac{4}{3}} + 9 x^{\frac{1}{3}}) (3 x^{\frac{5}{3}} - 2 x^{\frac{2}{3}})

What is expand (-7sin(x)+7sin(7x))^2 ?
The solution to expand (-7sin(x)+7sin(7x))^2 is 49sin^2(x)-98sin(x)sin(7x)+49sin^2(7x)