What is simplify-2x(x+3)-(x+1)(x-2) ?

The solution to simplify-2x(x+3)-(x+1)(x-2) is -3x^2-5x+2

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simplify-2x(x+3)-(x+1)(x-2)

simplify

- 2 x (x + 3) - (x + 1) (x - 2)

- 3 x^{2} - 5 x + 2

Solution steps

- 2 x (x + 3) - (x + 1) (x - 2)

Expand

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

= - 2 x^{2} - 6 x - (x + 1) (x - 2)

Expand

- (x + 1) (x - 2) : - x^{2} + x + 2

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 6 x + x = - 5 x

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

(x^{- 1} \cdot y^{3})^{\frac{1}{2}}

\frac{2 ^{3} ( x ^{2} ) ^{3}}{2 ^{2}}

(x - y + 2 z)^{3}

(3 x^{2} + 4 x y + 5 y^{2}) (7 x^{2} + 9 y^{2})

a^{4} - 2 a^{3} \cdot b + a^{2} \cdot b^{2} - b^{4}

What is simplify-2x(x+3)-(x+1)(x-2) ?
The solution to simplify-2x(x+3)-(x+1)(x-2) is -3x^2-5x+2