What is expand (x^2+4x+3)(2x^2-9x+7) ?

The solution to expand (x^2+4x+3)(2x^2-9x+7) is 2x^4-x^3-23x^2+x+21

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expand (x^2+4x+3)(2x^2-9x+7)

expand

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

2 x^{4} - x^{3} - 23 x^{2} + x + 21

Solution steps

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

Distribute parentheses

= x^{2} \cdot 2 x^{2} + x^{2} (- 9 x) + x^{2} \cdot 7 + 4 x \cdot 2 x^{2} + 4 x (- 9 x) + 4 x \cdot 7 + 3 \cdot 2 x^{2} + 3 (- 9 x) + 3 \cdot 7

Simplify

x^{2} \cdot 2 x^{2} + x^{2} (- 9 x) + x^{2} \cdot 7 + 4 x \cdot 2 x^{2} + 4 x (- 9 x) + 4 x \cdot 7 + 3 \cdot 2 x^{2} + 3 (- 9 x) + 3 \cdot 7 : 2 x^{4} - x^{3} - 23 x^{2} + x + 21

= 2 x^{4} - x^{3} - 23 x^{2} + x + 21

\frac{1}{cos ^{2} ( x )} + \frac{1}{sin ^{2} ( x )}

\frac{( 1 + sin ( a ) )}{( 1 - sin ( a ) )}

\frac{sin ( x )}{sin ( \frac{x}{2} )}

cos (x) 1 - sin (x)

p^{2} + p^{8}

What is expand (x^2+4x+3)(2x^2-9x+7) ?
The solution to expand (x^2+4x+3)(2x^2-9x+7) is 2x^4-x^3-23x^2+x+21