What is expand (-(3+5x))^2 ?

The solution to expand (-(3+5x))^2 is 25x^2+30x+9

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expand (-(3+5x))^2

expand

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

25 x^{2} + 30 x + 9

Solution steps

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

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- (5 x + 3))^{2} = (3 + 5 x)^{2}

= (3 + 5 x)^{2}

Apply Perfect Square Formula:

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

a = 3, b = 5 x

= 3^{2} + 2 \cdot 3 \cdot 5 x + (5 x)^{2}

Simplify

3^{2} + 2 \cdot 3 \cdot 5 x + (5 x)^{2} : 9 + 30 x + 25 x^{2}

= 9 + 30 x + 25 x^{2}

Rewrite in standard form

= 25 x^{2} + 30 x + 9

\frac{7}{( 2 x - 1 ) ^{2}}

e^{b (t + c)}

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

\frac{5 x - 2}{x ( x ^{2} + 6 ) ^{2}}

f (x) = (2 e^{x} - 4)^{9}