Question

a² + b² + 64 + 2ab + 16b + 16a is ______________ ​

Answer 1

Answer:

( a + b + 8) ^2

Step-by-step explanation:

a^2 + b^2 + 8^2 +2ab + 2(8) (b) +2(a) (8)

( a + b + 8) ^2

Answer 2

Given: Given expression is a² + b² + 64 + 2ab + 16b + 16a.

To find: We have to simplify the above expression.

Solution:

The expression is a² + b² + 64 + 2ab + 16b + 16a.

The simplified value of $(a+b+c) ^2$ is a² + b² + c²+ 2ab + 2bc + 2ca

Arranging the expression in terms of $(a+b+c) ^2$ we get-

a² + b² + 64 + 2ab + 16b + 16a.

a² + b² + 8²+ 2×8a + 2×ab + 2×8×b.

Where c=8

So, simplified value of the expression is-

$(a+b+8) ^2$ .

a² + b² + 64 + 2ab + 16b + 16a is $(a+b+8) ^2$.