Factorising a3
b3
The product of a + b and a 2 - ab + b 2 is a 3 + b 3 . Hence when a 3 + b 3 is factorised, we get: a 3 + b 3 = (a + b) (a 2 - ab + b 2 ) Similarly, a 3 - b 3 = (a - b) (a 2 + ab + b 2 ) Factorise: x 3 + 8 x 3 + 8 = (x) 3 + (2) 3 = (x + 2) (x 2 - 2x + 4) Factorise 64x 3 - 125. ..
b3 The product of a + b and a 2 - ab + b 2 is a 3 + b 3 . Hence when a 3 + b 3 is factorised, we get: a 3 + b 3 = (a + b) (a 2 - ab + b 2 ) Similarly, a 3 - b 3 = (a - b) (a 2 + ab + b 2 ) Factorise: x 3 + 8 x 3 + 8 = (x) 3 + (2) 3 = (x + 2) (x 2 - 2x + 4) Factorise 64x 3 - 125. ..2)
Consider the following inequations. a) x > 0 ..
Consider the following inequations. a) x > 0 ..Proof:
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..Examples:
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..Suggested answer:
Right hand limit at x = 1 = h + (-h+1) = 1 Left hand limit at x = 1 ..
Right hand limit at x = 1 = h + (-h+1) = 1 Left hand limit at x = 1 ..
..Note:
(iii) Domain of gof is Domain of..
(iii) Domain of gof is Domain of..
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