What is 6x(5x-24)-4(3-2x)^2 ?

The solution to 6x(5x-24)-4(3-2x)^2 is 14x^2-96x-36

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simplify 6x(5x-24)-4(3-2x)^2

simplify

6 x (5 x - 24) - 4 (3 - 2 x)^{2}

14 x^{2} - 96 x - 36

Solution steps

6 x (5 x - 24) - 4 (3 - 2 x)^{2}

Expand

6 x (5 x - 24) : 30 x^{2} - 144 x

= 30 x^{2} - 144 x - 4 (3 - 2 x)^{2}

Expand

- 4 (3 - 2 x)^{2} : - 36 + 48 x - 16 x^{2}

= 30 x^{2} - 144 x - 36 + 48 x - 16 x^{2}

Group like terms

= 30 x^{2} - 16 x^{2} - 144 x + 48 x - 36

Add similar elements:

30 x^{2} - 16 x^{2} = 14 x^{2}

= 14 x^{2} - 144 x + 48 x - 36

Add similar elements:

- 144 x + 48 x = - 96 x

= 14 x^{2} - 96 x - 36

\frac{7}{8} \div \frac{1}{8}

i - 48

14 p^{2} + 13 p - 12

\frac{a ^{3}}{49}

- 121 - - 160 + 16 - - 10

What is 6x(5x-24)-4(3-2x)^2 ?
The solution to 6x(5x-24)-4(3-2x)^2 is 14x^2-96x-36