6. Express the following as the difference of two squares and then factorize.
(a) x2 –5x + 6
(b) 25x2 + 20x + 3 (c) 3x2 – 12x + 9
Answers
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Step-by-step explanation:
1 = x^2 - 5x + 6
= x^2 -3x - 2x + 6
= x(x-3) -2 ( x-3)
= (x-2)(x-3)
ANS.
2= 25x^2 + 20x + 3
= 25x^2 + 15x + 5x + 3
= 5x(5x + 3 ) + 1 (5x + 3)
= (5x+1)(5x+3)
ANS.
3= 3x^2 - 12x + 9
3x^2 - 9x - 3x + 9
3x(x - 3) -3(x-3)
(3x-3)(x-3)
ANS.
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