Factorise
Asked by Shivam Saxena | 13th Sep, 2010, 10:54: PM
Expert Answer:
6 - 2√2x - x2/2 - x2 =
6 - 2√2x - x2 - x2/2 =
(3√2√2) - 2√2x - x2 - x2/2 = ... note that 3√2√2 = 3 x 2 = 6
(3√2√2) - 3√2x + √2x - x2 - x2/2 =
(3√2(√2 - x) + x(√2 - x) - x2/2 =
(√2 - x)(3√2 + x) - x2/2 =
[x/√2 - (√2 - x)1/2(3√2 + x)1/2][x/√2 + (√2 - x)1/2(3√2 + x)1/2] ... (a - b)(a + b) = a2 - b2
regards,
Team,
TopperLearning.
6 - 2√2x - x2 - x2/2 =
(3√2√2) - 2√2x - x2 - x2/2 = ... note that 3√2√2 = 3 x 2 = 6
(3√2√2) - 3√2x + √2x - x2 - x2/2 =
(3√2(√2 - x) + x(√2 - x) - x2/2 =
(√2 - x)(3√2 + x) - x2/2 =
[x/√2 - (√2 - x)1/2(3√2 + x)1/2][x/√2 + (√2 - x)1/2(3√2 + x)1/2] ... (a - b)(a + b) = a2 - b2
regards,
Team,
TopperLearning.
Answered by | 14th Sep, 2010, 06:50: AM
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