What is expand (sqrt(ax+b)+6+2x)*(x+4x^2) ?

The solution to expand (sqrt(ax+b)+6+2x)*(x+4x^2) is xsqrt(ax+b)+4x^2sqrt(ax+b)+6x+26x^2+8x^3

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expand (sqrt(ax+b)+6+2x)*(x+4x^2)

expand

(a x + b + 6 + 2 x) \cdot (x + 4 x^{2})

x a x + b + 4 x^{2} a x + b + 6 x + 26 x^{2} + 8 x^{3}

Solution steps

(a x + b + 6 + 2 x) (x + 4 x^{2})

Distribute parentheses

= a x + b x + a x + b \cdot 4 x^{2} + 6 x + 6 \cdot 4 x^{2} + 2 xx + 2 x \cdot 4 x^{2}

Simplify

a x + b x + a x + b \cdot 4 x^{2} + 6 x + 6 \cdot 4 x^{2} + 2 xx + 2 x \cdot 4 x^{2} : x a x + b + 4 x^{2} a x + b + 6 x + 26 x^{2} + 8 x^{3}

= x a x + b + 4 x^{2} a x + b + 6 x + 26 x^{2} + 8 x^{3}

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What is expand (sqrt(ax+b)+6+2x)*(x+4x^2) ?
The solution to expand (sqrt(ax+b)+6+2x)*(x+4x^2) is xsqrt(ax+b)+4x^2sqrt(ax+b)+6x+26x^2+8x^3