What is expand sqrt(6x^2+3x)*(9x^2-8x+8) ?

The solution to expand sqrt(6x^2+3x)*(9x^2-8x+8) is 9x^2sqrt(6x^2+3x)-8xsqrt(6x^2+3x)+8sqrt(6x^2+3x)

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expand sqrt(6x^2+3x)*(9x^2-8x+8)

expand

6 x^{2} + 3 x \cdot (9 x^{2} - 8 x + 8)

9 x^{2} 6 x^{2} + 3 x - 8 x 6 x^{2} + 3 x + 8 6 x^{2} + 3 x

Solution steps

6 x^{2} + 3 x (9 x^{2} - 8 x + 8)

Apply the distributive law:

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

6 x^{2} + 3 x (9 x^{2} - 8 x + 8) = 6 x^{2} + 3 x \cdot 9 x^{2} + 6 x^{2} + 3 x (- 8 x) + 6 x^{2} + 3 x \cdot 8

= 6 x^{2} + 3 x \cdot 9 x^{2} + 6 x^{2} + 3 x (- 8 x) + 6 x^{2} + 3 x \cdot 8

Simplify

6 x^{2} + 3 x \cdot 9 x^{2} + 6 x^{2} + 3 x (- 8 x) + 6 x^{2} + 3 x \cdot 8 : 9 x^{2} 6 x^{2} + 3 x - 8 x 6 x^{2} + 3 x + 8 6 x^{2} + 3 x

= 9 x^{2} 6 x^{2} + 3 x - 8 x 6 x^{2} + 3 x + 8 6 x^{2} + 3 x

\frac{x ( x - 6 )}{( x - 3 ) ^{2}}

\frac{2 N + ( a N t + b t + c ) ^{2}}{N}

- \frac{5}{( x - 3 ) ^{2}}

3 x^{2} - (- 8 x^{2})

e^{7 x^{2}} (8 x + 6)

What is expand sqrt(6x^2+3x)*(9x^2-8x+8) ?
The solution to expand sqrt(6x^2+3x)*(9x^2-8x+8) is 9x^2sqrt(6x^2+3x)-8xsqrt(6x^2+3x)+8sqrt(6x^2+3x)