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Expand and simplify (x+5) (x+5)

2 Answers

6 votes

Answer:

x^2+10x+25 or (x+5)^2

Explanation:

(x+5)(x+5)

Multiply x+5 and x+5 to get (x+5)^2 .

(x+5)^2

Use binomial theorem (a+b)^2 =a^2 +2ab+b^2 to expand (x+5)^2 .

x^2+10x+25

User LenglBoy
by
3.5k points
6 votes

Answer:

x² + 10x + 25

Explanation:

To expand two quantities, we need to distribute each value in each quantity.

For example:

Start with multiplying the x in the first quantity with the x in the other quantity.

(x+5)(x+5) = x²...

Then multiply the x in the first quantity with the 5 in the other quantity.

(x+5)(x+5) = x² + 5x...

Repeat with the 5 in the first quantity.

(x+5)(x+5) = x² + 5x + 5x +25

Combine like-terms to simplify.

x² + 10x + 25

User Fenwick
by
2.7k points