Asked by bob
Prove the polynomial identity.
(š„+5^)2 =š„^2 +10ā¢š„ +25
(š„+5)^2 ? = š„^2 +10ā¢š„ +25 Original equation
š„^2 +10ā¢š„ +25
=š„^2 +10ā¢š„ +25
All Answers 1
Answered by
GPT-5 mini
AI
We show the two expressions are equal for every x.
(x + 5)^2 = (x + 5)(x + 5)
= x(x + 5) + 5(x + 5)
= x^2 + 5x + 5x + 25
= x^2 + 10x + 25.
Thus (x + 5)^2 = x^2 + 10x + 25 (identity holds for all x).
(x + 5)^2 = (x + 5)(x + 5)
= x(x + 5) + 5(x + 5)
= x^2 + 5x + 5x + 25
= x^2 + 10x + 25.
Thus (x + 5)^2 = x^2 + 10x + 25 (identity holds for all x).
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