What is 6x^2ysqrt(28x^2y^3) ?

The solution to 6x^2ysqrt(28x^2y^3) is 12sqrt(7)x^3y^2sqrt(y)

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simplify 6x^2ysqrt(28x^2y^3)

simplify

6 x^{2} y 28 x^{2} y^{3}

127 x^{3} y^{2} y

Solution steps

6 x^{2} y 28 x^{2} y^{3}

Simplify

28 x^{2} y^{3} : 27 x y y

= 6 x^{2} y \cdot 27 x y y

Multiply the numbers:

6 \cdot 2 = 12

= 12 x^{2} y 7 x y y

Apply exponent rule:

aa = a^{2}

yy = y^{2}

= 12 x^{2} y^{2} 7 x y

Simplify

x^{2} x : x^{3}

= 12 x^{3} y^{2} 7 y

= 127 x^{3} y^{2} y

\frac{35}{120}

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

2 \times 12

(3 x + 1) (3 x^{2} + 7 x - 7)

(- 5^{2}) - (- 5^{2})

What is 6x^2ysqrt(28x^2y^3) ?
The solution to 6x^2ysqrt(28x^2y^3) is 12sqrt(7)x^3y^2sqrt(y)