Q4 of 84 Page 5

If x + = 11, find the value of x2 +

Here, we will use (a+b)2 = a2 + b2 +2ab


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2

Evaluate each of the following using identities:

(i) (399)2


(ii) (0.98)2


(iii) 991×1009


(iv) 117×83

 3

Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 ×25


(ii) 322 × 322 – 2 × 322 × 22 + 22 × 22


(iii) 0.76 ×0.76+2×0.76×0.24+0.24×0.24


(iv)

5

If x - = -1, find the value of x2 +

 6

If x + = , find the value of x2 + and x4+