Answer:
(x + 1)(x + 1)
Step-by-step explanation:
Do the opposite of FOIL. Find factors of x² and 1 that, when added, will equal 2x.
x² + 2x + 1
x 1
x 1
(x + 1)(x + 1) is your answer.
Check: Follow FOIL. FOIL = First, Outsides, Inside, Last.
(x)(x) = x²
(x)(1) = x
(1)(x) = x
(1)(1) = 1
x² + x + x + 1
Combine like terms.
x² + (x + x) + 1 = x² + 2x + 1.
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