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Factorise x²-16x + 64​

User Whitebeard
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1 Answer

6 votes

Answer:

(x - 8)²

Explanation:

x² - 16x + 64

consider the factors of the constant term (+ 64) which sum to give the coefficient of the x- term (- 16)

the factors are - 8 and - 8 , since

- 8 × - 8 = + 64 and - 8 - 8 = - 16 , then

x² - 16x + 64

= (x - 8)(x - 8)

= (x - 8)²

User Kenston Choi
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