What is 3x^2y^2(4y^5-3x^3+2x^2y) ?

The solution to 3x^2y^2(4y^5-3x^3+2x^2y) is 3x^2y^2(-3x^3+2x^2y+4y^5)

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simplify 3x^2y^2(4y^5-3x^3+2x^2y)

simplify

3 x^{2} y^{2} (4 y^{5} - 3 x^{3} + 2 x^{2} y)

3 x^{2} y^{2} (- 3 x^{3} + 2 x^{2} y + 4 y^{5})

Solution steps

3 x^{2} y^{2} (4 y^{5} - 3 x^{3} + 2 x^{2} y)

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{2} y^{2} = (x y)^{2}

= 3 (x y)^{2} (- 3 x^{3} + 2 x^{2} y + 4 y^{5})

(x y)^{2} = x^{2} y^{2}

= 3 x^{2} y^{2} (- 3 x^{3} + 2 x^{2} y + 4 y^{5})

(e^{- x^{2}})^{^{'}}

6.672 \cdot 1 0^{- 11} \cdot \frac{6 \cdot 1 0 ^{24}}{( 6.41 \cdot 1 0 ^{6} )}

\frac{( 1 + 0.0123 ) ^{1}}{( 1 + 0.0085 ) ^{1}}

\frac{1}{2 π} e^{- \frac{0. 4 ^{2}}{2}}

What is 3x^2y^2(4y^5-3x^3+2x^2y) ?
The solution to 3x^2y^2(4y^5-3x^3+2x^2y) is 3x^2y^2(-3x^3+2x^2y+4y^5)