Simplifying
x(x + 6)[3x + 1x(7 + 2x)]
Reorder the terms:
x(6 + x)[3x + 1x(7 + 2x)]
x(6 + x)[3x + (7 * 1x + 2x * 1x)]
x(6 + x)[3x + (7x + 2x2)]
Combine like terms: 3x + 7x = 4x
x(6 + x)[4x + 2x2]
Multiply (6 + x) * [4x + 2x2]
x(6[4x + 2x2] + x[4x + 2x2])
x([4x * 6 + 2x2 * 6] + x[4x + 2x2])
x([24x + 12x2] + x[4x + 2x2])
x(24x + 12x2 + [4x * x + 2x2 * x])
x(24x + 12x2 + [4x2 + 2x3])
Combine like terms: 12x2 + 4x2 = 16x2
x(24x + 16x2 + 2x3)
(24x * x + 16x2 * x + 2x3 * x)
(24x2 + 16x3 + 2x4)
Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(12 + 8x + x2)
Factor a trinomial.
2x2((2 + 1x)(6 + 1x))
Final result:2x2(2 + 1x)(6 + 1x)
10/21/2013

Becky G.