What is 6xy^2(x+2)(x-y)z^2 ?

The solution to 6xy^2(x+2)(x-y)z^2 is 6xy^2z^2(x+2)(x-y)

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simplify 6xy^2(x+2)(x-y)z^2

simplify

6 x y^{2} (x + 2) (x - y) z^{2}

6 x y^{2} z^{2} (x + 2) (x - y)

Solution steps

6 x y^{2} (x + 2) (x - y) z^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

y^{2} z^{2} = (yz)^{2}

= 6 x (yz)^{2} (x + 2) (x - y)

(yz)^{2} = y^{2} z^{2}

= 6 x y^{2} z^{2} (x + 2) (x - y)

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

3 x^{6} (2 x^{6})

(e^{- 3 x}) (e^{3 x})

(5 p^{8}) (8 p^{9})

0.65 \cdot 1 0^{- 2}

What is 6xy^2(x+2)(x-y)z^2 ?
The solution to 6xy^2(x+2)(x-y)z^2 is 6xy^2z^2(x+2)(x-y)