Question

what do i do here..?

i have to factorize 4(x-y)² - (y-z)²

im stuck at 2nd step 4(x²-2xy+y²) - (y²-2yz+z²)

Answer 1

Solution

4(X-Y)²-(Y-Z)²

$= 2 {}^{2} (x - y) {}^{2} - (y - z) {}^{2} \\ = (2(x - y)) {}^{2} - (y - z) {}^{2} \\ = (2(x - y) + (y - z))(2(x - y) - (y - z) \\ = (2x - 2y + y - z)(2x - 2y - y + z) \\ = (2x - y - z)(2x - 3y + z)$

hope this helps you.......