Factorise : a^2-4a+3+2b-b^2
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a² -4a + 3 +2b - b²
= a² - 4a + 4 - 1 + 2b - b²
= (a - 2)² - { b² -2b +1 }
= (a -2)² - (b -1)²
[ use, formula, x² - y² = (x - y)(x + y) ]
=(a -2 - b +1 )(a -2 + b -1)
=(a - b -1)(a + b -3)
= a² - 4a + 4 - 1 + 2b - b²
= (a - 2)² - { b² -2b +1 }
= (a -2)² - (b -1)²
[ use, formula, x² - y² = (x - y)(x + y) ]
=(a -2 - b +1 )(a -2 + b -1)
=(a - b -1)(a + b -3)
Answered by
11
Answer:
Step-by-step explanation:
a2-4a+3+2b-b2
a2-4a+4-1+2b-b2
(a-2)2 - (b2-2b+1)
(a-2)2 - (b-1)2
Using identity a2-b2=(a+b)(a-b)
(a-2+b-1) (a-2-b+1)
(a+b-3) (a-b-1)
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