Q2 of 90 Page 33

Find the products using the algebraic identities.
103 x 97

103 × 97 = (100 + 3)(100 – 3)

Using Identity:

(a² – b²) = (a + b)(a – b)

Take 103 = 100 + 3 and 97 = 100 – 3

103 x 97 = 100² – 3²

= 10000 – 9

= 9991

Find the products using the algebraic identities.

104 x 109

Find the products using the algebraic identities.

94 x 97

Factorize using appropriate identities.

x² + 6xy + 9y²

Factorize using appropriate identities.

x² – 4x + 4

Questions · 90

3. Polynomials

1 2 3 4 5 6 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 1 1 1 1 1 2 3 4 1 1 1 1 2 2 2 2 3 4 5 6 6 6 6 7 7 7 7 7 7 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 8 8 8 8 9 10 10 11 12 12

Find the products using the algebraic identities.103 x 97