Question

Factorise
X2 + 3√3x + 6

Answer 1

split the middle term.

Answer 2

Answer:

x²+3√3x+6 = (x+2√3)(x+√3)

Explanation:

Given quadratic expression:

x²+3√3x+6

Splitting the middle term, we get

=x²+2√3x+√3x+6

= x²+2√3x+√3x+2×√3×√3

= x(x+2√3)+√3(x+2√3)

= (x+2√3)(x+√3)

Therefore,

x²+3√3x+6 = (x+2√3)(x+√3)

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