Use a suitable identity to evaluate 96².

Use a suitable identity to evaluate $9 6^{2}$ .

Class 8Algebraic Expressions and IdentitiesAlgebra

9 6^{2} = (100 - 4)^{2} = 10 0^{2} - 2 (100) (4) + 4^{2} = 10000 - 800 + 16 = 9216

. The final 16 is ADDED, not subtracted — subtracting it gives 9184; using

100 \times 4

instead of

2 \times 100 \times 4

gives 9616; dropping the

4^{2}

altogether gives 9200.

Answer: C) 9216

Combine **like terms only** — same variables and same powers.

Example:

(3 x^{2} + 4 x - 2) + (5 x^{2} - 7 x + 8) = (3 x^{2} + 5 x^{2}) + (4 x - 7 x) + (- 2 + 8) = 8 x^{2} - 3 x + 6

.

For subtraction, distribute the minus sign first:

(3 x^{2} + 4 x) - (x^{2} - 2 x) = 3 x^{2} + 4 x - x^{2} + 2 x = 2 x^{2} + 6 x

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