What is expand (7cos(θ)-5sin(θ))^2 ?

The solution to expand (7cos(θ)-5sin(θ))^2 is 49cos^2(θ)-70cos(θ)sin(θ)+25sin^2(θ)

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expand (7cos(θ)-5sin(θ))^2

expand

(7 cos (θ) - 5 sin (θ))^{2}

49 cos^{2} (θ) - 70 cos (θ) sin (θ) + 25 sin^{2} (θ)

Solution steps

(7 cos (θ) - 5 sin (θ))^{2}

Apply Perfect Square Formula:

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

(7 cos (θ) - 5 sin (θ))^{2} = (7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 5 sin (θ) + (5 sin (θ))^{2}

= (7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 5 sin (θ) + (5 sin (θ))^{2}

Simplify

(7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 5 sin (θ) + (5 sin (θ))^{2} : 49 cos^{2} (θ) - 70 cos (θ) sin (θ) + 25 sin^{2} (θ)

= 49 cos^{2} (θ) - 70 cos (θ) sin (θ) + 25 sin^{2} (θ)

\frac{3 x ^{2} - 6 x - 7}{( x + 4 ) ( x - 3 )}

(x^{2} - 2) (x + 1)

\frac{2}{( s ^{2} + 4 ) s}

(x + x^{3} sin (2 y)) d y - 2 y d x

\frac{( s + 2 ) ( s + 6 )}{s ( s + 1 ) ( s + 5 ) ( s + 10 )}

What is expand (7cos(θ)-5sin(θ))^2 ?
The solution to expand (7cos(θ)-5sin(θ))^2 is 49cos^2(θ)-70cos(θ)sin(θ)+25sin^2(θ)