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Fill in the blank with a number to make the expression a perfect square.

U^2 + 2u + ?

Fill in the blank with a number to make the expression a perfect square. U^2 + 2u-example-1
User Vicsz
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1 Answer

7 votes

Answer:

u² + 2u + 1

Explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :-
(a + b)^2 = a^2 + (2 * a * b) + b^2

While matching the expression with identity , the expression will look like this :- u² + 2ux +

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

= 1

∴ The number in the blank is 1.

User KNfLrPn
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