Question

Factorize: x² - y2 + 10yz - 25z?​

Answer 1

Answer:

Answer

We have

4x2+9y2+25z2−12xy−30yz+20zx

=[(2x)2+(−3y)2+(5z)2+2(2x)(−3y)+2(−3y)(5z)+2(5z)(2x)]

Comparing with the identity V,

(x+y+z)2≡x2+y2+z2+2xy+2yz+2zx, we get

=(2x−3y+5z)2

=(2x−3y+5z)(2x−3y+5z).

Step-by-step explanation:

Hope It's Helpful At All.

Answer 2

It should be 25z^2

Answer:

(x+y-5z) (x-y+5z)

Step-by-step explanation:

x^2 - (y^2-10yz+25z)

x^2 - (y^2-5yz-5yz+25z)

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

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

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

(x+y-5z) (x-y+5z)