Question
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x²
+ x - 6)?Solution
(x³ + 3x² - x - 3) = x² (x + 3) - 1 (x + 3) = (x + 3) (x² - 1) x³ + 4x² + x - 6 = x³ + 3x² + x² + 3x - 2x - 6 = x² (x + 3) + x (x + 3) - 2 (x + 3) = (x + 3) (x² + x - 2) ∴ HCF = (x + 3)
(22 × 52 ) + 4 × 6 = ? - √324
What should come in place of (?) question mark in the given expression.
 (25% of 320) + (3/8 of 400) − 30 = ?
(5832)1/3  × 10.11 × 11.97 ÷ 16.32 = ? + 45.022
82% of 400 + √(?) = 130% of 600 - 85% of 400
If (x + 1/x) = 5, then value of x3 + 1/x3 is:
Simplify: (1 ÷ 0.08)
What should come in place of (?) question mark in the given expression.
{ (144 ÷ 12) × 5 } − (18 ÷ 3) = ?
Simplify the following expressions and choose the correct option.
(3/4 of 256) + (2/5 of 150) - (72 ÷ 7)
464 + 181 +? = (154 × 25) - (15) 2 Â
15% of 1800 + 22 = ?Â
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