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Consider the rational expression. Which statement is true? (In picture)

Consider the rational expression. Which statement is true? (In picture)-example-1

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Answer:

true/ true/ false/ true

Explanation:

4x² is a term in both the numerator and denominator → Correct

factorise numerator and denominator

4x² - 4 = 4(x² - 1) ← common factor of 4

x² - 1 ← is a difference of squares and factors as

(x - 1)(x + 1)

4x² - 3x - 1 = (4x + 1)(x - 1) ← in factored form

Hence (x - 1) is a common factor in the numerator and denominator → Correct

4 is only a common factor in the numerator not the denominator

the denominator has three terms → Correct

being 4x² , - 3x and - 1



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