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

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

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

expand

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

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

Solution steps

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

Distribute parentheses

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

Simplify

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

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

(a + b - c) (a + b + c)

(2 + 1)^{2}

\frac{20}{35}

\frac{315}{180}

\frac{7 x ^{3}}{14 x ^{2} + 112 x}

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