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Question

3(x2 -5x)2 - 2(x2 -5x + 5) - 6

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Solution

We have 3x2 - 5x2 - 2x2 - 5x + 5 - 6.Let x2 -5x= a3x2 - 5x2 - 2x2 - 5x + 5 - 6 = 3a2 - 2a+5 -6 =3a2 - 2a-16 =3a2 - 8a +6a-16 =a3a - 8 +23a - 8 =3a - 8 a + 2Resubstituting the value of a, we get:3x2 - 5x2 - 2x2 - 5x + 5 - 6 =3x2 - 5x - 8 x2 - 5x + 2 =3x2 -15x -8x2 -5x +2

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