Question

(2a³+5b²)² find the answer to this ,, from the chapter expansions

Answer 1

Step-by-step explanation:

Since, ${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

Using the above identity,

${(2 {a}^{3}) }^{2} + 2(2 {a}^{3} )(5 {b}^{2} ) + {(5 {b}^{2} )}^{2}$

$4 {a}^{6} + 20 {a}^{3} {b}^{2} + 25 {b}^{2}$

$4 {a}^{6 } + {b}^{2} (20 {a}^{3} + 25)$

$4 {a}^{6 } + {b}^{2} (5(4 {a}^{3} + 5))$

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