1. Evalute the product (a^3-3/8)(a^3+16/17)
2. Find the value of 86×82 by using a suitable identity.
3. Expand the expression (-x-1/2y-1/2)^2
4. Simplify (x+y+z)^2-(x-y-z)^2
5. Simply (1/3p+2/3q)^3+(1/3p-2/3q)^3
6. Evaluate (9.8)^3 by using suitable identity.
7. What is the degree of the remainder when she divide x^4+x^2-x-3 by x^2+6?
8. Find the value of p^2+q^2 if p+q=3 and pq=2
*please solve all the questions and also mention the identity used*
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The HCF of 28 and 32 is 4. To calculate the HCF (Highest Common Factor) of 28 and 32, we need to factor each number (factors of 28 = 1, 2, 4, 7, 14, 28; factors of 32 = 1, 2, 4, 8, 16, 32) and choose the highest factor that exactly divides both 28 and 32, i.e., 4.
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