What is expand (10x+3)sqrt(5-2x^2-9x) ?

The solution to expand (10x+3)sqrt(5-2x^2-9x) is 10xsqrt(-2x^2-9x+5)+3sqrt(-2x^2-9x+5)

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expand (10x+3)sqrt(5-2x^2-9x)

expand

(10 x + 3) 5 - 2 x^{2} - 9 x

10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

Solution steps

(10 x + 3) 5 - 2 x^{2} - 9 x

= 5 - 2 x^{2} - 9 x (10 x + 3)

Apply the distributive law:

a (b + c) = ab + a c

5 - 2 x^{2} - 9 x (10 x + 3) = 5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3

= 5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3

Simplify

5 - 2 x^{2} - 9 x \cdot 10 x + 5 - 2 x^{2} - 9 x \cdot 3 : 10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

= 10 x - 2 x^{2} - 9 x + 5 + 3 - 2 x^{2} - 9 x + 5

(1 + cot (θ))^{2}

(1 - 3 sin (x))^{2}

(a + b t) e^{3 t} - \frac{2}{5} e^{- 2 t}

\frac{8 ( 2 3 - 3 )}{3}

\frac{1}{3} (12 - 9 y)

What is expand (10x+3)sqrt(5-2x^2-9x) ?
The solution to expand (10x+3)sqrt(5-2x^2-9x) is 10xsqrt(-2x^2-9x+5)+3sqrt(-2x^2-9x+5)