What is expand (x^4+3x^2)(-x^2+6x+7) ?

The solution to expand (x^4+3x^2)(-x^2+6x+7) is -x^6+6x^5+4x^4+18x^3+21x^2

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expand (x^4+3x^2)(-x^2+6x+7)

expand

(x^{4} + 3 x^{2}) (- x^{2} + 6 x + 7)

- x^{6} + 6 x^{5} + 4 x^{4} + 18 x^{3} + 21 x^{2}

Solution steps

(x^{4} + 3 x^{2}) (- x^{2} + 6 x + 7)

Distribute parentheses

= x^{4} (- x^{2}) + x^{4} \cdot 6 x + x^{4} \cdot 7 + 3 x^{2} (- x^{2}) + 3 x^{2} \cdot 6 x + 3 x^{2} \cdot 7

Simplify

x^{4} (- x^{2}) + x^{4} \cdot 6 x + x^{4} \cdot 7 + 3 x^{2} (- x^{2}) + 3 x^{2} \cdot 6 x + 3 x^{2} \cdot 7 : - x^{6} + 6 x^{5} + 4 x^{4} + 18 x^{3} + 21 x^{2}

= - x^{6} + 6 x^{5} + 4 x^{4} + 18 x^{3} + 21 x^{2}

(\frac{x}{3 x + 4 ln ( x )})^{^{'}}

\frac{\partial}{\partial x} (5 - 3 x)

f (x) = sin^{3} (2 x)

\frac{s - 10}{s ^{3} ( s + 2.5 ) ^{2}}

\frac{\partial ^{2}}{\partial x \partial y} (x y e^{- 7 y})

What is expand (x^4+3x^2)(-x^2+6x+7) ?
The solution to expand (x^4+3x^2)(-x^2+6x+7) is -x^6+6x^5+4x^4+18x^3+21x^2