How do you simplify (2y+5x)^{2}?

dannyhaden6gjj

dannyhaden6gjj

Answered question

2022-02-09

How do you simplify (2y+5x)2?

Answer & Explanation

Ijezid8t

Ijezid8t

Beginner2022-02-10Added 13 answers

Combine the like terms in the "middle" :
4y2+20xy+25x2
If you want a challenge, you can do this in your head:
1) square the first term 2y: 22y2=4y2
2) Square the first terms: 2y*5x=10xy and double it
2*10xy=20xy
3) Square the second term: 52x2=25x2
4) and combine. 4y2+20xy+25x2
Skaftau0k

Skaftau0k

Beginner2022-02-11Added 10 answers

First, rewrite this expression as:
(2y+5x)(2y+5x)
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
(2y+5x)(2y+5x) becomes:
(2y×2y)+(2y×5x)+(5x×2y)+(5x×5x)
4y2+10xy+10xy+25x2
We can now combine like terms:
4y2+(10+10)xy+25x2
4y2+20xy+25x2

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