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2. Polynomials and Factorisation
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Q4 of 86 Page 56

Expand each of the following, using suitable identities

= [ + + 1]2


Using (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx


Here x = , y = and z = 1


⇒ = + + 12 + 2 + 2(1) + 2(1)


⇒ = + + 1 + + (-b) +


⇒ = + + 1 - – b +


Therefore = + + 1 - – b +


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Questions · 86
2. Polynomials and Factorisation
1 2 3 4 5 6 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 1 1 1 1 1 2 3 4 5 6 7 8 9 1 1 1 1 2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5
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