What is expand (4tan(x)+3)^2 ?

The solution to expand (4tan(x)+3)^2 is 16tan^2(x)+24tan(x)+9

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expand (4tan(x)+3)^2

expand

(4 tan (x) + 3)^{2}

16 tan^{2} (x) + 24 tan (x) + 9

Solution steps

(4 tan (x) + 3)^{2}

Apply Perfect Square Formula:

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

(4 tan (x) + 3)^{2} = (4 tan (x))^{2} + 2 \cdot 4 tan (x) \cdot 3 + 3^{2}

= (4 tan (x))^{2} + 2 \cdot 4 tan (x) \cdot 3 + 3^{2}

Simplify

(4 tan (x))^{2} + 2 \cdot 4 tan (x) \cdot 3 + 3^{2} : 16 tan^{2} (x) + 24 tan (x) + 9

= 16 tan^{2} (x) + 24 tan (x) + 9

\frac{( m - 3 ) ( m + 5 )}{m - 25}

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

csc^{2} (x) (sec^{2} (x) - cos^{2} (x))

\frac{- 2 e ^{\frac{1}{x}} + x ( 2 e ^{\frac{1}{x}} - 2 )}{3 x}

δ (x - y y_{2}), y_{2}

What is expand (4tan(x)+3)^2 ?
The solution to expand (4tan(x)+3)^2 is 16tan^2(x)+24tan(x)+9