Question

Q.Factorise:
a) x² +3√3 x +6
b) 4√3x² +5x -2√3
c) a^6-b^6
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Answer 1

x²+3√3x+6

=x²+2√3x+√3x+6

=x(x+2√3)+√2(x+2√3)

=(x+2√3)(x+√3)

4√3x²+5x-2√3

=4√3x²+8x-3x-2√3

=4x(√3x+2)-√3(√3x+2)

=(4x-√3)(√3x+2√)

a^6-b^6

=(a³)²-(b³)²

=(a³-b³)(a³+b³)

=(a+b)(a²+b²-ab)(a-b)(a²+b²+ab)