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

The solution to 5(2x^2-6x)-(4x^2-3x) is 6x^2-27x

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

simplify

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

6 x^{2} - 27 x

Solution steps

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Expand

5 (2 x^{2} - 6 x) : 10 x^{2} - 30 x

= 10 x^{2} - 30 x - 4 x^{2} + 3 x

Group like terms

= 10 x^{2} - 4 x^{2} - 30 x + 3 x

Add similar elements:

10 x^{2} - 4 x^{2} = 6 x^{2}

= 6 x^{2} - 30 x + 3 x

Add similar elements:

- 30 x + 3 x = - 27 x

= 6 x^{2} - 27 x

m + 5 c + 6 m + 2

(1) (1)

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

3 \frac{3}{10}