4xy + 6xz
When factorising algebraic expressions treat them just as ordinary numbers. Ascertain what the common factors are.
The factors of 4xy are 2 x 2 x 'x' x y
The factors of 6xz are 2 x 3 x 'x' x z
The factors common to both expressions are 2 and 'x'. Therefore,
4xy + 6xz = 2x(2y + 3z)
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(x + 11)(x - 4)
5x2 - 20xy + 10y2 = 5(x2 - 4xy + 2y2) which cannot be simplified into rational factors.
2x + 12 = 2*x + 2*6 = 2*(x + 6)
12x2 + 7x + 1 = 12x2 + 3x + 4x + 1 = 3x*(4x + 1) + 1*(4x + 1) = (4x + 1)*(3x + 1)
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