Question

(x-a/b)²=a²/b²

solve using factorisation​

Answer 1

Answer:

x(x -2(a/b))

Step-by-step explanation:

${(x -a/b)}^{2} = {(a/b)}^{2} \\ {(x -a/b)}^{2} - {(a/b)}^{2} = 0$

This is based on formula

${a}^{2} - {b}^{2} = (a + b) (a - b)$

So,

${(x -a/b)}^{2} - {(a/b)}^{2} \\ = (x - a/b + a/b)(x - a/b - a/b) \\ = x(x - 2(a/b))$