Mathematics
a(a - 1) - b(b - 1)
Factorisation
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Answer
Given,
a(a - 1) - b(b - 1)
= a2 - a - b2 + b
= a2 - b2 - a + b
= (a + b)(a - b) - 1(a - b)
= (a - b)(a + b - 1).
Hence, a(a - 1) - b(b - 1) = (a - b)(a + b - 1).
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a(a - 1) - b(b - 1)
21 Likes
Given,
a(a - 1) - b(b - 1)
= a2 - a - b2 + b
= a2 - b2 - a + b
= (a + b)(a - b) - 1(a - b)
= (a - b)(a + b - 1).
Hence, a(a - 1) - b(b - 1) = (a - b)(a + b - 1).
Answered By
16 Likes