Question
Simplify the given expression: [(2.3)3
+ (15.9) ³ + (3.7) ³ – 3 × 2.3 × 15.9 x 3.7)] / [(2.3) ² + (15.9) ² + (3.7) ² – 2.3 × 15.9 – 15.9 × 3.7 – 3.7 × 2.3]Solution
Let a = 2.3, b = 15.9 and c 3.7. Then [a3+b3+c3 -3abc]/[a2+b2+c2-ab-bc-ca] … (1) As we know that – a3+b3+c3 -3abc = (a+b+c) [ a2+b2+c2-ab-bc-ca] Put the value in Eq (1). = (a+b+c) [ a2+b2+c2-ab-bc-ca] / [ a2+b2+c2-ab-bc-ca] The term [ a2+b2+c2-ab-bc-ca] cancel out and leave – =(a+b+c) =2.3 +15.9 +3.7 =21.9.
A man invested a certain amount of sum at 12.5% per annum simple interest and earned an interest of Rs.3000 after 5 years. If the same amount is investe...
A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the ye...
A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3
Which Is the layer of a computer system between the hardware and the user program
What will come in place of ?
4, 5, 13, 40, 104, ?.
What is the third proportional to the numbers 12 and 36?
In a class of 55 students, the ratio of boys to girls is 5:6. The average weight of a boy exceeds the average weight of a girl by 8 kg. Additionally, th...
What is the total amount allocated to Development and Customer Support combined?
Simplify: (x4 X x9 X x-6 X x5 X x-7).
A. x ⁷
B. x 1
C.�...
Relevant for Exams:
