Divide as directed. (i) `5(2x+1) (3x+5) -: (2x+1)` (ii) `26xy(x+5) (y-4) -: 13x(y-4)` (iii) `52pqr(p+q) (p+r) (r+p) -: 104pq (q+r) (r+p)`

Divide as directed : 52pqr (p + q) (q + r) (r + p) -: 104pq(q + r) (r + p)

Divide as directed: 52pqr(p+q)(q+r)(r+p):-104pq(q+r)(r+p)

Divide as directed. 52pqr (p+q)(q +r) (r + p) div 104pq(q + r)(r + p)

Factorise the expressions and divide them as directed. (i) (y^2+7y+10) -: (y+5) (ii) (m^2-14m-32) -: (m+2) (iii) (5p^2-25p+20) -: (p-1) (iv) (4yz(z^2+6z-16) -: 2y (z+8) (v) 5pq(p^2-q^2) -: 2p(p+q) (vi) 12xy (9x62-16y^2) -: 4xy (3x+4y) (vii) 39y^3(50y^2-98) -: 26y^2(5y+7)

Factorise the expressions and divide them as directed. (i) (y^2+7y+10) -: (y+5) (ii) (m^2-14m-32) -: (m+2) (iii) (5p^2-25p+20) -: (p-1) (iv) (4yz(z^2+6z-16) -: 2y (z+8) (v) 5pq(p^2-q^2) -: 2p(p+q) (vi) 12xy (9x62-16y^2) -: 4xy (3x+4y) (vii) 39y^3(50y^2-98) -: 26y^2(5y+7)

If p = -2, q = - 1 and r = 3, find the value of (i) p^(2) + q^(2) - r^(2) (ii) 2p^(2) - q^(2) + 3r^(2) (iii) p - q - r (iv) p^(3) + q^(3) + r^(3) + 3 pqr (v) 3p^(2) q + 5pq^(2) + 2 pqr (vi) p^(4) + q^(4) - r^(4)

Match the column I, II and III (A) (P-iv-y) (Q-i-z) (R - ii - x) (S - iii - w) (B) (P-iv-y) (Q - iii - z) (R - ii - x) (S - i-w) (C) (P-iv- x)(Q-i-w) (R - ii - y) (S - iii -z) (D) (P-i-z) (Q - ii - y) (R - iv - w) (S - iii - x)

Add: (i) p\ (p-q), q(q-r) and \ r\ (r-p) (ii) 2x\ (z-x-y)\ and \ 2y\ (z-y-x)