Question

Quadratic factorise x^2-36=0?

Answer 1

(x-6)(x+6) = 0

Explanation:

x to the power of 2 minus 36.

6 squared is 36 so therefore. you must have 2 6's in the brackets somewhere.

then the 2 x's need to be there too.

another example can be.

x^2-81=0

it would be (x-9)(x+9)=0

you just always have the plus and minus int he brackets

Answer 2

(x - 6)(x + 6) = 0

Explanation:

This is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Given

x² - 36 = 0, then

x² - 6² = 0

(x - 6)(x + 6) = 0 ← in factored form