Factorize using appropriate identities.x2 + 6xy + 9y2

x2 + 6xy + 9y2 = x2 + 2x(3y) + (3y)2Using identity: (a + b)2 = a2 + 2ab + b2⇒ x2 + 6xy + 9y2 = (x + 3y)2⇒ x2 + 6xy + 9y2 = (x + 3y)(x + 3y)

Q3 of 90 Page 33

Factorize using appropriate identities.
x² + 6xy + 9y²

x² + 6xy + 9y² = x² + 2x(3y) + (3y)²

Using identity: (a + b)² = a² + 2ab + b²

⇒ x² + 6xy + 9y² = (x + 3y)²

⇒ x² + 6xy + 9y² = (x + 3y)(x + 3y)

Find the products using the algebraic identities.

94 x 97

Find the products using the algebraic identities.

103 x 97

Factorize using appropriate identities.

x² – 4x + 4

Factorize using appropriate identities.

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