Q57 of 100 Page 312

Add the following expressions:

(a) p2 – 7pq – q2 and – 3p2 – 2pq + 7q2


(b) x3–x2y–xy2 –y3 and x3 –2x2y+3xy2+4y


(c) ab + bc + ca and – bc – ca – ab


(d) p2 – q + r, q2 – r + p and r2 – p + q


(e) x3y2 + x2y3 +3y4 and x4 + 3x2y3 + 4y4


(f) p2qr + pq2r + pqr2 and – 3pq2r –2pqr2


(g) uv – vw, vw – wu and wu – uv


(h) a2 + 3ab – bc, b2 + 3bc – ca and c2 + 3ca – ab


(i) p4 + 2p2 + -17p + p2 and


(j) t – t2 – t3 – 14; 15t3 + 13 + 9t – 8t2; 12t2 – 19 – 24t and 4t – 9t2 + 19t3

(a) p2 – 7pq – q2 – 3p2 – 2pq + 7q2


-2p2 – 9pq + 6q2


(b) x3–x2y–xy2 –y3 + x3 –2x2y+3xy2+4y


2x3–3x2y–2xy2 –y3 +4y


(c) ab + bc + ca – bc – ca – ab


0


(d) p2 – q + r + q2 – r + p + r2 – p + q


p2 + q2 + r2


(e) x3y2 + x2y3 +3y4 + 1x4 + 3x2y3 + 4y4


x3y2 + 4x2y3 +7y4 + x4


(f) p2qr + pq2r + pqr2 - 3pq2r –2pqr2


p2qr -2pq2r - pqr2


(g) uv – vw, vw – wu + wu – uv


0


(h) a2 + 3ab – bc + b2 + 3bc – ca + c2 + 3ca – ab


a2 + b2 + c2 + 2ab + 2bc + 2ca


(i)


=


(j) t – t2 – t3 – 14 + 15t3 + 13 + 9t – 8t2 + 12t2 – 19 – 24t + 4t – 9t2 + 19t3


= -10t -6t2 + 33t3 – 20


= 33t3 - 6t2 – 10t – 20


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