Answer:
Option D is correct.
Square of binomials.
Step-by-step explanation:
Prove that: [tex]49 = (2+5)^2[/tex]
Square of binomials states that the square of a binomial is always a trinomial.
Also, it will be helpful to memorize these patterns for writing squares of binomials as trinomials.
[tex](a+b)^2 = a^2+2ab+b^2[/tex]
Take RHS
[tex](2+5)^2[/tex]
Apply the square of binomial, we have;
[tex](2+5)^2 = 2^2+2 \cdot 2 \cdot 5 +5^2[/tex]
= 4 + 20 + 25 = 24 + 25 = 49 = LHS proved.
Therefore, Square of binomials identity will prove that [tex]49 = (2+5)^2[/tex]
