How do you find the product of (x+5)^{2}?

l2yanhatal0n

l2yanhatal0n

Answered question

2022-02-11

How do you find the product of (x+5)2?

Answer & Explanation

Javon Ross

Javon Ross

Beginner2022-02-12Added 13 answers

We can use Binomial Expansion to find the product.
The Binomial Theorem States that,
For Any Integer n>0,
(x+y)n=(n combination 0)xn+(n combination 1)xn1y1+...+ (n combination n-1)x1yn1+ (n combination n)yn
So, Here, use can use the formula.
(x+5)2=(2 combination 0)x2+(2 combination 1)x2151+ (2 combination 1)x1521+ (2 combination 2)52
=1×x2+1×x5+1×x5+1×52
=x2+5x+5x+25
=x2+10x+25
skullsxtest7xt

skullsxtest7xt

Beginner2022-02-13Added 15 answers

(x+5)2
=(x+5)(x+5) [Break it up]
=x(x+5)+5(x+5) [Multiply]
=(x2+5x)+(5x+25) [Distributive Property]
=x2+5x+5x+25
=x2+10x+25 [Add everything up]

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