Factorise these expressions.
a. x^2 – x
b. x^2 – 25
c. x^2 – 5x + 4
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To factorise , we have to equate the equation with 0 .
a. x² - x = 0
=> x( x - 1 ) = 0
=> x = 0 or x = 1
b. x² - 25 = 0
=> x² = 25
=> x = ±5
=> x = 5 or -5
c. x² - 5x + 4 = 0
=> x² - x - 4x + 4 = 0
=> x( x - 1 ) - 4 ( x - 1 ) = 0
=> ( x - 1 ) ( x - 4 ) = 0
=> x = 1 or x = 4
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