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Factorise 2x² - 98 completely

1 Answer

4 votes

Answer:

2(x - 7)(x + 7)

Explanation:

given

2x² - 98 ← factor out 2 from each term in the expression

= 2(x² - 49) ← x² - 49 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 49

= x² - 7²

= (x - 7)(x + 7)

2x² - 98 = 2(x - 7)(x + 7) ← in factorised form

User Brian Bruman
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