What is expand sqrt(x)(3x^2+2x+1) ?

The solution to expand sqrt(x)(3x^2+2x+1) is 3x^2sqrt(x)+2xsqrt(x)+sqrt(x)

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expand sqrt(x)(3x^2+2x+1)

expand

x (3 x^{2} + 2 x + 1)

3 x^{2} x + 2 x x + x

Solution steps

x (3 x^{2} + 2 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x (3 x^{2} + 2 x + 1) = x \cdot 3 x^{2} + x \cdot 2 x + x \cdot 1

= x \cdot 3 x^{2} + x \cdot 2 x + x \cdot 1

Simplify

x \cdot 3 x^{2} + x \cdot 2 x + x \cdot 1 : 3 x^{2} x + 2 x x + x

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

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What is expand sqrt(x)(3x^2+2x+1) ?
The solution to expand sqrt(x)(3x^2+2x+1) is 3x^2sqrt(x)+2xsqrt(x)+sqrt(x)