Answer: (x + 33)(x - 33)
What does factorise mean?
In maths, to factorise an expression means to put it in brackets in the max possible multiplication form. It is basically finding what to multiply to get an expression.
If you don't know what expression means: a collection of symbols such as numbers, variables and arithmetic operators that jointly express a quantity.
NOTE: There must be no equal sign in expressions. Equal sign in an expression makes it an equation.
Basic Factorization Formulas: (for your info, " ^ " means, to the power of)
- a^2 – b^2 = (a – b)(a + b)
- (a + b)^2 = a^2 + 2ab + b^2
- (a – b) 2 = a^2 – 2ab + b^2
- a^3 – b^3 = (a – b)(a^2 + ab + b^2 )
- a^3 + b^3 = (a + b)(a^2 – ab + b^2 )
- (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca
- (a – b – c)^2 = a^2 + b^2 + c^2 – 2ab + 2bc – 2ca
Now if you see the formulas; the very first formula seems to match with the expression. If your wondering how,
a^2 - b^2 where , "a" can be replaced by x and, "b" can be replaced by 33 As a result, x^2 - 33^2 can be written in multiplication form as (x - 33)(x + 33)
Hope it helped! If you are still not clear, please get help from a tutor or videos on factorization. Thank you.