Factorize:
a^2 -1 + 2b - b^2
5 answers
a2+1+b2-2b
a2+b2(-1+2)b
a^2 -1 + 2b - b^2
= a^2 - (b^2 - 2b + 1)
= a^2 - (b-1)^2 , now we have a difference of squares
= (a + (b-1))(a - (b-1))
= (a+b-1)(a-b+1)
= a^2 - (b^2 - 2b + 1)
= a^2 - (b-1)^2 , now we have a difference of squares
= (a + (b-1))(a - (b-1))
= (a+b-1)(a-b+1)
This is very useful for me.
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1 answer