What is 3x^3(3x-4)^2+x^4(8)(3x-4)(3) ?

The solution to 3x^3(3x-4)^2+x^4(8)(3x-4)(3) is 99x^5-168x^4+48x^3

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simplify 3x^3(3x-4)^2+x^4(8)(3x-4)(3)

simplify

3 x^{3} (3 x - 4)^{2} + x^{4} (8) (3 x - 4) (3)

99 x^{5} - 168 x^{4} + 48 x^{3}

Solution steps

3 x^{3} (3 x - 4)^{2} + x^{4} (8) (3 x - 4) (3)

Simplify

x^{4} (8) (3 x - 4) (3) : 24 x^{4} (3 x - 4)

= 3 x^{3} (3 x - 4)^{2} + 24 x^{4} (3 x - 4)

Expand

3 x^{3} (3 x - 4)^{2} : 27 x^{5} - 72 x^{4} + 48 x^{3}

= 27 x^{5} - 72 x^{4} + 48 x^{3} + 24 x^{4} (3 x - 4)

Expand

24 x^{4} (3 x - 4) : 72 x^{5} - 96 x^{4}

= 27 x^{5} - 72 x^{4} + 48 x^{3} + 72 x^{5} - 96 x^{4}

Group like terms

= 27 x^{5} + 72 x^{5} - 72 x^{4} - 96 x^{4} + 48 x^{3}

Add similar elements:

27 x^{5} + 72 x^{5} = 99 x^{5}

= 99 x^{5} - 72 x^{4} - 96 x^{4} + 48 x^{3}

Add similar elements:

- 72 x^{4} - 96 x^{4} = - 168 x^{4}

= 99 x^{5} - 168 x^{4} + 48 x^{3}

\frac{3}{x - 1} - \frac{4}{x + 3}

5 (3 x^{2} + 9 x) - 14

1.0 3^{10}

2 (2)

(s + 1) (s + 2)^{2}

What is 3x^3(3x-4)^2+x^4(8)(3x-4)(3) ?
The solution to 3x^3(3x-4)^2+x^4(8)(3x-4)(3) is 99x^5-168x^4+48x^3