What is expand (5sin(θ)+2)^2 ?

The solution to expand (5sin(θ)+2)^2 is 25sin^2(θ)+20sin(θ)+4

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expand (5sin(θ)+2)^2

expand

(5 sin (θ) + 2)^{2}

25 sin^{2} (θ) + 20 sin (θ) + 4

Solution steps

(5 sin (θ) + 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(5 sin (θ))^{2} + 2 \cdot 5 sin (θ) \cdot 2 + 2^{2} : 25 sin^{2} (θ) + 20 sin (θ) + 4

= 25 sin^{2} (θ) + 20 sin (θ) + 4

(tan (β) + 1)^{2}

(1 - a) \cdot (1 - b) l e f t (1 - c)

(e^{- a s} - 1)^{2}

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

e^{x^{2}} (3 x + 5)^{2}

What is expand (5sin(θ)+2)^2 ?
The solution to expand (5sin(θ)+2)^2 is 25sin^2(θ)+20sin(θ)+4