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Prove that (X+2)^2+(X-2)^2=2(x^2+4) for all values of x
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Prove that (X+2)^2+(X-2)^2=2(x^2+4) for all values of x

User Benjamin Curtis
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1 Answer

4 votes

Answer:

see explanation

Explanation:

consider the left side

(x + 2)² + (x - 2)² ← expand factors using FOIL

= x² + 4x + 4 + x² - 4x + 4 ← collect like terms

= 2x² + 8 ← factor out 2 from each term

= 2(x² + 4)

= right side , thus proven

User Philipk
by
3.4k points
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