What is (x-3)(4x+1)+2(3-x)(x+2) ?

The solution to (x-3)(4x+1)+2(3-x)(x+2) is 2x^2-9x+9

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simplify (x-3)(4x+1)+2(3-x)(x+2)

simplify

(x - 3) (4 x + 1) + 2 (3 - x) (x + 2)

2 x^{2} - 9 x + 9

Solution steps

(x - 3) (4 x + 1) + 2 (3 - x) (x + 2)

Expand

(x - 3) (4 x + 1) : 4 x^{2} - 11 x - 3

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

Expand

2 (3 - x) (x + 2) : - 2 x^{2} + 2 x + 12

= 4 x^{2} - 11 x - 3 - 2 x^{2} + 2 x + 12

Group like terms

= 4 x^{2} - 2 x^{2} - 11 x + 2 x - 3 + 12

Add similar elements:

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

= 2 x^{2} - 11 x + 2 x - 3 + 12

Add similar elements:

- 11 x + 2 x = - 9 x

= 2 x^{2} - 9 x - 3 + 12

Add the numbers:

- 3 + 12 = 9

= 2 x^{2} - 9 x + 9

1.1592 5^{\frac{1}{5}}

+ \frac{2 π}{8 π}

\frac{4 ^{5} \cdot 3 ^{5}}{1 2 ^{3}}

12 z - 4 + (- 12 z)

What is (x-3)(4x+1)+2(3-x)(x+2) ?
The solution to (x-3)(4x+1)+2(3-x)(x+2) is 2x^2-9x+9