Question

What is the missing coefficient of the x-term of the product (-x-5)2 after it has been simplified?

Answer 1

10

Explanation:

The given expression is

`(-x-5)^2`

We need to find the coefficient of x.

According to the property of algebra.

`(a-b)^2=a^2-2ab+b^2`

In the given expression a=-x and b=5.

Substitute a=-x and b=5 in the above formula.

`(-x-5)^2=(-x)^2-2(-x)(5)+(5)^2`

On further simplification we get

`(-x-5)^2=x^2+10x+25`

Coefficient of x is a multiplicative factor of x.

Therefore, the coefficient of x is 10.

Answer 2

The missing coefficient of the x-term of the product (-x-5)2 is 10.

Explanation:

Solution:

Through whole square formula.

(-x-5)2 = (-x)^2 -2(-x)(5)+(5)^2

=x^2+10x+25

Therefore, the missing coefficient of the x-term of the product is 10