Question

Factorise the following expression
7x²- 14x+7​

Answer 1

Answer:

$7 {x}^{2} - 14x + 7 \\ \\ = 7( {x}^{2} - 2x + 1) \\ \\ = {x}^{2} - 2x + 1 \\ \\ = {x }^{2} - (1 + 1)x + 1 \\ \\ = {x}^{2} - x - x + 1 \\ \\ = x(x - 1) - 1(x - 1) \\ \\ = (x - 1)(x - 1)$

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Answer 2

Answer:

7x² - 7x - 7x + 7 = 0

7x( x - 1 ) - 7( x - 1 ) = 0

( x - 1 ) ( 7x - 7) = 0

x = 1 or x = 1