Question

What must be added to (4x²+20x+16) so that it becomes a perfect square ?​

Answer 1

Answer:

9

Step-by-step explanation:

4x²+20x+16

= [(2x)² + 2 × 2 × 5 ]+ 16

the bracketted part is of the form: a² +2ab, b² must be added to make it a perfect square,

but in 5²=25, 16 is already present

so, we only have to add, 25-15=9

on adding 9,

(2x)²+2×2×5+9+16

=(2x)²+2×2×5+25

=(2x+5)²

which is a perfect square

Answer 2

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