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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