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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

71.7 \cdot 3600 \cdot 1 0^{- 5}

3.67 x 1 0^{- 1}

6.82 \cdot 1 0^{- 5}

60000 (1.008)^{- 1}

6.82 \cdot 1 0^{- 3}

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