What is expand (4x^2+9x+6)(x^2-3x+2) ?

The solution to expand (4x^2+9x+6)(x^2-3x+2) is 4x^4-3x^3-13x^2+12

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expand (4x^2+9x+6)(x^2-3x+2)

expand

(4 x^{2} + 9 x + 6) (x^{2} - 3 x + 2)

4 x^{4} - 3 x^{3} - 13 x^{2} + 12

Solution steps

(4 x^{2} + 9 x + 6) (x^{2} - 3 x + 2)

Distribute parentheses

= 4 x^{2} x^{2} + 4 x^{2} (- 3 x) + 4 x^{2} \cdot 2 + 9 x x^{2} + 9 x (- 3 x) + 9 x \cdot 2 + 6 x^{2} + 6 (- 3 x) + 6 \cdot 2

Simplify

4 x^{2} x^{2} + 4 x^{2} (- 3 x) + 4 x^{2} \cdot 2 + 9 x x^{2} + 9 x (- 3 x) + 9 x \cdot 2 + 6 x^{2} + 6 (- 3 x) + 6 \cdot 2 : 4 x^{4} - 3 x^{3} - 13 x^{2} + 12

= 4 x^{4} - 3 x^{3} - 13 x^{2} + 12

75 x^{10}

a (a - 3) (a + 3)

6 x 1 0^{5}

113 - 12

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

What is expand (4x^2+9x+6)(x^2-3x+2) ?
The solution to expand (4x^2+9x+6)(x^2-3x+2) is 4x^4-3x^3-13x^2+12