4 will be added to make the given expression a perfect square
Further explanation:
Given term is:
[tex]x^2-4x[/tex]
As there is a square term and a linear term involving x, the expression will be completed using the formula
[tex]a^2-2ab+b^2=(a-b)^2[/tex]
We know that
a^2=x^2
so,
[tex]2ab=4x\\2xb=4x\\b=\frac{4x}{2x}\\b=2[/tex]
Adding (2)^2
[tex]x^2-4x+(2)^2[/tex]
[tex]x^2-4x+4[/tex]
4 will be added to make the given expression a perfect square
Keywords: Perfect square, polynomials
Learn more about perfect squares at:
- brainly.com/question/4703820
- brainly.com/question/4706270
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