Question

x4y2 - 10x²y + 25 factorize​

Answer 1

Hello Friend.

Here is your answer below,,

$x {}^{4} y {}^{2} - 10x {}^{2} y + 25 = 0 \\ = x {}^{4} y {}^{2} - 5x {}^{2} y - 5x {}^{2} y + 25 = 0 \\ = > x {}^{2} y(x {}^{2} y - 5) - 5(x {}^{2} y - 5) = 0 \\ = > (x {}^{2} y - 5)(x {}^{2} y - 5) = 0 \\ = > x {}^{2} y - 5 = 0 \\ = > x {}^{2} y = 5 \\ = > x {}^{2} = \frac{5}{y} \\ = > x = \sqrt{ \frac{5}{y} } \\ = > same \: as \\ = > x = \sqrt{ \frac{5}{y} }$

I hope that helps you

Answer 2

Answer: x^4 y^2 - 10 x^2 y + 25

(x^2)^2 + (5)^2 -2 × (x^2 y) × (5)

(x^2 y - 5)^2

(x^2 y - 5) (x^2 y - 5)

So, the factors are (x^2 y - 5) and (x^2 y - 5)

Hope it will help you

Step-by-step explanation: