Question

Using identities , evaluate . (i) (2a^2+9)(2a^2+5)​

Answer 1

Use the identity, (x+a)(x+b) = x² + (a+b)x + ab

You can check the attachment for calculations and answer.

Answer 2

Answer:

${4a}^{4} + 28a^2 + 45$

Step-by-step explanation:

$( {2a}^{2} + 9)( {2a}^{2} + 5)$

$( {2a}^{2})^{2} + (5 + 9)2a^2 + 9 \times 5$

${4a}^{4} + 14(2a^2) + 45$

${4a}^{4} + 28a^2 + 45$