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

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

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simplify (3x+2y)^2*(5x+3y)^2

simplify

(3 x + 2 y)^{2} \cdot (5 x + 3 y)^{2}

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

68.28 \cdot e^{- 0.1155 \cdot 2}

aka r 0.09

e^{- \frac{14}{5}}

(n (n + 1) (n + 2))^{2}

3 - a^{2} \cdot 3

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