Question

4. Use a suitable identity to get each of the following product. (x+3)(x+3)​

Answer 1

Step-by-step explanation:

Identity = (a + b)² = a² + 2ab + b²

Given, (x+3)(x+3)

      =    (x+3)²

      =  x² + 2(x)(3) + 3²   [∵ identity]

      =  x² + 6x + 9

∴The product is x² + 6x + 9

Answer 2

Given :-

• $(a {}^{2} - b {}^{2} ) {}^{2}$

Solution :-

$\implies(a {}^{2} - b {}^{2} ) {}^{2}$

$\implies(a {}^{2} ) {}^{2} - 2 \: \times \: a {}^{2} \: \times \: b {}^{2} \: + \: (b {}^{2} ) {}^{2}$

$\implies \: a {}^{4} \: - \: 2a {}^{2}b {}^{2} \: + \: b {}^{4}$