What is expand ,3x^2(x+3)+5x^2(x+6)(3x-4) ?

The solution to expand ,3x^2(x+3)+5x^2(x+6)(3x-4) is 15x^4+73x^3-111x^2

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expand ,3x^2(x+3)+5x^2(x+6)(3x-4)

expand

3 x^{2} (x + 3) + 5 x^{2} (x + 6) (3 x - 4)

15 x^{4} + 73 x^{3} - 111 x^{2}

Solution steps

3 x^{2} (x + 3) + 5 x^{2} (x + 6) (3 x - 4)

Expand

3 x^{2} (x + 3) : 3 x^{3} + 9 x^{2}

= 3 x^{3} + 9 x^{2} + 5 x^{2} (x + 6) (3 x - 4)

Expand

5 x^{2} (x + 6) (3 x - 4) : 15 x^{4} + 70 x^{3} - 120 x^{2}

= 3 x^{3} + 9 x^{2} + 15 x^{4} + 70 x^{3} - 120 x^{2}

Simplify

3 x^{3} + 9 x^{2} + 15 x^{4} + 70 x^{3} - 120 x^{2} : 15 x^{4} + 73 x^{3} - 111 x^{2}

= 15 x^{4} + 73 x^{3} - 111 x^{2}

\frac{3 a}{( a + 1 ) ^{3}}

2 x^{8} \frac{1}{7}

(t^{'} - t)^{2}

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

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

What is expand ,3x^2(x+3)+5x^2(x+6)(3x-4) ?
The solution to expand ,3x^2(x+3)+5x^2(x+6)(3x-4) is 15x^4+73x^3-111x^2