Mathematics
Simplify: (i) (a + b)² + (a - b)² (ii) (a + b)² - (a - b)² (iii) (x + 1/x)² + (x - 1/x)² (iv) (x + 1/x)² - (x - 1/x)² (v) (a/2b + 2b/a)² - (2b/a - a/2b)² (vi) (3x - 1)² - (3x + 1/3x) (3x - 1/3x) (vii) (5a + 3b)² - (5a - 3b)² - 60ab (viii) (3x + 1)² - (3x + 2)(3x - 1)
Related Questions
Using standard formulae, expand each of the following:
(i) (2 - x)(2 + x)(4 + x2)
(ii) (x + y)(x - y)(x2 + y2)
Using standard formulae, expand each of the following:
(i) (x - 2)(x - 3)(x + 4)
(ii) (x - 5)(2x - 1)(2x + 3)
(i) If (a + b) = 7 and ab = 10, find the value of (a - b).
(ii) If (x - y) = 5 and xy = 24, find the value of (x + y).
If (3a + 4b) = 16 and ab = 4, find the value of (9a2 + 16b2).