Question

Write as a square of a binomial: 4.8xy+36y^2+0.16 i will give brainliest plz solve

Answer 1

Answer:

$(0.4x + 6y)^2$

Step-by-step explanation:

Given

$4.8xy+36y^2+0.16x^2$

Required

Express as a binomial squared

$4.8xy+36y^2+0.16x^2$

Rewrite as:

$0.16x^2+4.8xy+36y^2$

Expand

$0.16x^2 + 2.4xy + 2.4xy + 36y^2$

Factorize:

$0.4x(0.4x + 6y) + 6y(0.4x + 6y)$

Factor out 0.4x + 6y

$(0.4x + 6y)(0.4x + 6y)$

Express as a square:

$(0.4x + 6y)^2$