Question

factorise the following x^2-36​

Answer 1

Answer:

a square minus b square is equal to (a + b) (a-b)

Answer 2

SOLUTION:

${x}^{2} - 36 \\ = > {(x)}^{2} - {(6)}^{2} \\ using \: the \: identity \: {x}^{2} - {y}^{2} = (x + y)(x - y) \\ = > {x}^{2} - 36 = (x + 6)(x - 6)$

VERIFICATION:

${x}^{2} - 36 = (x + 6)(x - 6) \\ {x}^{2} - 36 = {x}^{2} - 6x + 6x - 36 \\ {x}^{2} - 36 = {x}^{2} + 0x - 36 \\ {x}^{2} - 36 = {x}^{2} - 36$

Therefore, It is Verified that LHS is Equal to RHS...

CONCLUSION:

The Factorized Form of x^2 - 36 is = (x + 6)(x - 6)