Question
8p 3 - 27q 3 - 36p 2 q
+ 54pq 2 is equivalent to:Solution
We know that: (a - b) 3 = a 3 - b 3 - 3a 2 b + 3ab 2
8p 3 - 27q 3 - 36p 2 q + 54pq 2
= (2p) 3 - (3q) 3 - 3 * (2p) 2 * 3q + 3 * 2p * (3q) 2
= (2p - 3q) 3
Simplify the following expressions and choose the correct option.
{[(13)² − (7)²] ÷ 12} × 4 = ?
(25)² × 4 ÷ 5 + (3)³ + 48=? + 425
?2 + 114 - 48 ÷ 2 × 5 = 163
182 + 10 × 12 - ? = 312
2/5 of 3/4 of 7/9 of 7200 = ?
If (3 × 144 – 252 ÷ 14) ÷ 18 = √1024 – x, then find the value of ‘x’.
12.50% of 1440 - 17 × 51 + 721 =?
[(15)³ × (8)²] ÷ (90 × 6) = ?²
?2 - (40% of 240) = 25 X 5
Simplify: 48 ÷ 4 × 3 + 5 × (6 − 2)