Question

What is the missing constant term in the perfect square that starts with x2+18xx^2+18xx2+18xx, squared, plus, 18, x ?

Answer 1

This is written as a perfect square as
`(x+9)^2`

The constant term required therefore is 81.

Explanation:

Given that;

The expression
`x^2+18x`

we follow the following steps.

Divide the coefficient of x by 2

Coefficient of

`x = 18, \\\\18 /2=9`

Square 9

9² = 81

The expression goes

`x^2+18x+81`

This is written as a perfect square as
`(x+9)^2`

The constant term required therefore is 81.

Answer 2

81

Explanation:

Given the expression:
`x^2+18x`

To make it a perfect square, we follow the following steps.

Divide the coefficient of x by 2

• Coefficient of x=18, 18/2=9

Square It

• 9 X 9=81

Add it to the expression

• 
  `x^2+18x+81`

This is written as a perfect square as:
`(x+9)^2`

The constant term required therefore is 81.