Answer:
[tex](0.4x + 6y)^2[/tex]
Step-by-step explanation:
Given
[tex]4.8xy+36y^2+0.16x^2[/tex]
Required
Express as a binomial squared
[tex]4.8xy+36y^2+0.16x^2[/tex]
Rewrite as:
[tex]0.16x^2+4.8xy+36y^2[/tex]
Expand
[tex]0.16x^2 + 2.4xy + 2.4xy + 36y^2[/tex]
Factorize:
[tex]0.4x(0.4x + 6y) + 6y(0.4x + 6y)[/tex]
Factor out 0.4x + 6y
[tex](0.4x + 6y)(0.4x + 6y)[/tex]
Express as a square:
[tex](0.4x + 6y)^2[/tex]
