Find the sum of the following algebraic expressions :
`4p + 3q + 5r , 6p - 4q - r , 2p + q + 7r`

Factorize each of the following algebraic expressions: 4x^2+12 x y+9y^2 (2) 9a^2-24 a b+16 b^2 (3) p^2q^2-6p q r+9r^2 (4) 36 a^2+36 a+9

Find the degree of the following polynomials 5p^4-7q^2 pr -6p^2 q

Add the following expressions using horizontal method : 4p + 3q , 4q + 3p and -5p - 5q

Write all the terms of each of the following algebraic expressions : -7pq^(4)-9pq^(2)q+(3p)/(q)-(2)/(p)+11p+13q-3

Factorize each of the following expressions: (1) q r-p r+q s-p s (2) p^2q-p r^2-p q+r^2 (3) 1+x+x y+x^2y (4) a x+a y-b x-b y

Let A= {p, q, r} . Which of the following is an equivalence relation on A ? (a) R_1 = {(p, q), (q, r), (p, r), (p, q)} (b) R_2 = {(r,q), (r, p), (r.r), (q, r)} (c) R_3 = {(p, p), (q,q), (r, r), (p, q)} (d) one of these

Subtract : 5p - 3q - 2r " from " 7p + 2q - 5r

Find the value of : 2p + 3q + 4r + por when p =-1,q = 2 and r = 3

Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ p)->r (b) ~ r->(~ p v q) (c) ~((p^^(~ q))^^(~ r)) (d) ~ r->(~ p^^q)

Write down the algebraic expressions whose terms are : -7pq^(3),2p^(2)q, -3p^(5), 7r^(2), -(2)/(3) pqr+5