Question

5. Simplify the following expressions and evaluate them as directed:
(i) x2(3 - 2x +x2) for x = 1; x = -1; x =
2÷3 and x =-1÷2
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Answer 1

Answer:

x²(3-2x+x²).

3x²-2x³+x⁴.

x=1.

3(1)²-2(1)³+(1)⁴.

3(1)-2(1)+1.

3-2+1.

1+1.

2.

x=-1.

3(-1)²-2(-1)³+(-1)⁴.

3(1)-2(-1)+(1).

3+2+1. (Because -×-=+).

6.

x=2/3.

3(2/3)²-2(2/3)³+(2/3)⁴.

3(4/9)-2(8/27)+(16/81).

12/9-16/27+16/81.

108-48+16/81 (Because LCM of 9, 27 & 81 is 81).

76/81.

x=-1/2.

3(-1/2)²-2(-1/2)³+(-1/2)⁴.

3(1/4)-2(-1/8)+(1/16).

3/4+2/8+1/16. (Because -×-=+).

3/4+1/4+1/16.

12+4+1/16. (Because LCM of 4, 4 & 16 is 16).

17/16.

I think this is your answer.