What is (3x^2-11x-4)-(x-2)(2x+3) ?

The solution to (3x^2-11x-4)-(x-2)(2x+3) is x^2-10x+2

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simplify (3x^2-11x-4)-(x-2)(2x+3)

simplify

(3 x^{2} - 11 x - 4) - (x - 2) (2 x + 3)

x^{2} - 10 x + 2

Solution steps

(3 x^{2} - 11 x - 4) - (x - 2) (2 x + 3)

Apply rule:

(a) = a

(3 x^{2} - 11 x - 4) = 3 x^{2} - 11 x - 4

= 3 x^{2} - 11 x - 4 - (x - 2) (2 x + 3)

Expand

- (x - 2) (2 x + 3) : - 2 x^{2} + x + 6

= 3 x^{2} - 11 x - 4 - 2 x^{2} + x + 6

Group like terms

= 3 x^{2} - 2 x^{2} - 11 x + x - 4 + 6

Add similar elements:

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

= x^{2} - 11 x + x - 4 + 6

Add similar elements:

- 11 x + x = - 10 x

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

Add the numbers:

- 4 + 6 = 2

= x^{2} - 10 x + 2

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

60 \div 20

j^{4} + (3 - 6 j) (1 + j) j^{21}

\frac{8}{3 - 5}

2 t \cdot t^{2}

What is (3x^2-11x-4)-(x-2)(2x+3) ?
The solution to (3x^2-11x-4)-(x-2)(2x+3) is x^2-10x+2