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secondary 2 | Maths
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pls help, need it urgently
Date Posted: 4 years ago
Views: 218
I do one for you.
x2 - 1 + y2 - 2xy
= x2 - 2xy + y2 - 1
= (x2 - 2xy + y2) - 1
= (x - y) (x - y) - 1
= (x - y)^2 - 1^2
= A^2 - B^2
= (A + B) (A - B)
= [(x - y) + 1] [(x - y) - 1]
= (x - y + 1) (x - y - 1)
This is an example where we do a 3-1 grouping of expressions rather than a 2-2 grouping of expressions.
x2 - 1 + y2 - 2xy
= x2 - 2xy + y2 - 1
= (x2 - 2xy + y2) - 1
= (x - y) (x - y) - 1
= (x - y)^2 - 1^2
= A^2 - B^2
= (A + B) (A - B)
= [(x - y) + 1] [(x - y) - 1]
= (x - y + 1) (x - y - 1)
This is an example where we do a 3-1 grouping of expressions rather than a 2-2 grouping of expressions.
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