Mathematics

Factorise :
x(3x + 14) + 8

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x(3x + 14) + 8

= 3x² + 14x + 8

= 3x² + (12 + 2)x + 8

= 3x² + 12x + 2x + 8

= (3x² + 12x) + (2x + 8)

= 3x(x + 4) + 2(x + 4)

= (x + 4)(3x + 2)

Hence,x(3x + 14) + 8 = (x + 4)(3x + 2)

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