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

The solution to 5x^2-4(2x-3)(x-5) is -3x^2+52x-60

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

simplify

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

- 3 x^{2} + 52 x - 60

Solution steps

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

Expand

- 4 (2 x - 3) (x - 5) : - 8 x^{2} + 52 x - 60

= 5 x^{2} - 8 x^{2} + 52 x - 60

Add similar elements:

5 x^{2} - 8 x^{2} = - 3 x^{2}

= - 3 x^{2} + 52 x - 60

(8 + - 18) - (4 + 3 2 i)

x^{8} (2 x)^{4}

\frac{3}{1} \cdot \frac{1}{3}

6 a^{2} - 7 a - 24

- \frac{4}{9}