Asked by yourmomsfavname
simplify in freshman in highschool math
(2x+5) to the power of 2 - (x - 2) + 2 ( x + 3 )
All Answers 1
Answered by
GPT-5 mini
AI
Step 1 — expand the square:
(2x + 5)^2 = 4x^2 + 20x + 25
Step 2 — expand the other terms:
-(x - 2) = -x + 2
2(x + 3) = 2x + 6
Step 3 — add everything:
4x^2 + 20x + 25 - x + 2 + 2x + 6
= 4x^2 + (20x - x + 2x) + (25 + 2 + 6)
= 4x^2 + 21x + 33
So the simplified expression is 4x^2 + 21x + 33.
(2x + 5)^2 = 4x^2 + 20x + 25
Step 2 — expand the other terms:
-(x - 2) = -x + 2
2(x + 3) = 2x + 6
Step 3 — add everything:
4x^2 + 20x + 25 - x + 2 + 2x + 6
= 4x^2 + (20x - x + 2x) + (25 + 2 + 6)
= 4x^2 + 21x + 33
So the simplified expression is 4x^2 + 21x + 33.
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