Question

what term should be added to expression to make it a perfect square ​

Answer 1

in this term we can see

49a⁴ + 50a²b² + 16b⁴

= (7a²)²+(4b²)² + 50a²b² ....(1)

We can make this term as a perfect square of

(7a²+4b²)²

= 49a⁴+ 16b⁴+ 56a²b² ...(2)

From (1) and (2) we can see that

to make 49a⁴ + 50a²b² + 16b⁴ a perfect square [= (7a²+4b²)²] we must add 6a²b² to it

Answer 2

Answer:

$49 {a}^{4} + 50 {a}^{2} {b}^{2} + 16 {b}^{4} + 6 {a}^{2} {b}^{2} - 6 {a}^{2} {b}^{2} \\ (7 {a}^{2} + 4b ^{2} ) ^{2} - 4 {a}^{2} {b}^{2} - 2 {a}^{2} {b}^{2} \\ (7 {a}^{2} + 4 {b}^{2} + 2ab)(7 {a}^{2} + 4 {b}^{2} - 2ab) - 2 {a}^{2} {b}^{2} \\ ansssssssss$

Step-by-step explanation:

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