Question

Factorise x^2+3×√(3x-30

Answer 1

x²+3√3x-30
=x²+5√3x-2√3x-30
=x(x+5√3)-2√3(x+5√3)
=(x+5√3)(x-2√3)

Answer 2

Answer:

x²+3√3x-30 = (x+5√3)(x-2√3)

Explanation:

Factorising x²+3√3x-30

Splitting the middle term, we get

= x²+5√3x-2√3x-30

= x²+5√3x-2√3x-2√3×5√3

= x(x+5√3)-2√3(x+5√3)

= (x+5√3)(x-2√3)

Therefore,

x²+3√3x-30 = (x+5√3)(x-2√3)