Given that (a²+b²)=60, then find the value of (a+b)²+(a–b)².

In an examination, 93 % of students passed and 259 failed. The total number of students appearing at the examination was: 

The sum of three numbers is 116. The ratio of second to the third is 9 : 16 and the first to the third is 1 : 4 The second number is 

The sum for 2 years gives a compound interest of ₹ 3225 at 15 % rate. Then sum is 

If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x²+y²-z²+2xy is : 

Factor of $$ {12x^{2}+7y^{2}-12}$$ is__

The interest compounded annually on a sum of Rs. 56000 at a rate of 7% p.a. after 3 years is what percentage of the simple interest on a sum of Rs. 72000 at a rate of 9% p.a. after 5 years?

If the product of two numbers is 4941 and their LCM is 81, then their HCF is: