Question

(x+2y-5z)²-(x-2y+5z)² from factorisation

Answer 1

Answer:

(x + 2y - 5z)² - (x - 2y + 5z)²

= (x + 2y - 5z - x + 2y - 5z) (x + 2y - 5z + x - 2y + 5z)

= (4y - 10z) (2x)

= 8xy - 20xz

What is actually done in this solution is using the formula : a² - b² = (a+b) (a-b) and after that we simply proceed the solution towards an end. Ultimately the answer emerges out automatically through our calculations.

Answer 2

Answer:

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

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

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

(4y - 10z) 2x

8xy - 20zx