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

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

Which of the following statement is not a fallacy? Option1 p ∧ ( ~ ( ~ p ⇒ q ) ) Option2 ~ ( ( p ∧ q ) ⇒ p ) Option3 ~ ( p ⇒ ( p ∨ q ) ) Option4 ~ p ∨ ( ~ p ⇒ q )

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

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

Identify which of the following expressions are polynomials. If so, write their degrees. 6p^(4) -p^(3)q^(2)+pq^(3)+q^(4)

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

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

If two positive integers a and b are expressible in the form a =pq^2 and b=p^3q , p and q being prime numbers, then HCF (a,b) is a)pq b)p^3q^3 c)p^3q^2 d)p^2q^2

Find the coordinates of points lying on the line joining P(3,-4) and Q(-2,5) that is twice as far from P as Q