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

The solution to expand (3x^2+4x-6)(2x^2+x+3) is 6x^4+11x^3+x^2+6x-18

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

expand

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

6 x^{4} + 11 x^{3} + x^{2} + 6 x - 18

Solution steps

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

Distribute parentheses

= 3 x^{2} \cdot 2 x^{2} + 3 x^{2} x + 3 x^{2} \cdot 3 + 4 x \cdot 2 x^{2} + 4 xx + 4 x \cdot 3 - 6 \cdot 2 x^{2} - 6 x - 6 \cdot 3

Simplify

3 x^{2} \cdot 2 x^{2} + 3 x^{2} x + 3 x^{2} \cdot 3 + 4 x \cdot 2 x^{2} + 4 xx + 4 x \cdot 3 - 6 \cdot 2 x^{2} - 6 x - 6 \cdot 3 : 6 x^{4} + 11 x^{3} + x^{2} + 6 x - 18

= 6 x^{4} + 11 x^{3} + x^{2} + 6 x - 18

5 \frac{5}{9} \div 2 \frac{2}{3}

5 x^{2} - 10 x - 400

7^{- 9}

\frac{20 b}{( 4 b ^{3} ) ^{3}}

(- 1) + (- 2)

What is expand (3x^2+4x-6)(2x^2+x+3) ?
The solution to expand (3x^2+4x-6)(2x^2+x+3) is 6x^4+11x^3+x^2+6x-18