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Question

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(1) (2p + q +5)2
(2) (m + 2n +3r)2
(3) (3x +4y − 5p)2
(4) (7m − 3n − 4k)2

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Solution

It is known that,
a+b+c2=a2+b2+c2+2ab+2bc+2ca
1 2p+q+52=2p2+q2+52+2×2p×q+2×q×5+2×5×2p=4p2+q2+25+4pq+10q+20p
2 m+2n+3r2=m2+2n2+3r2+2×m×2n+2×2n×3r+2×3r×m=m2+4n2+9r2+4mn+12nr+6mr
3 3x+4y-5p2=3x2+4y2+-5p2+2×3x×4y+2×4y×-5p+2×-5p×3x=9x2+16y2+25p2+24xy-40yp-30px
4 7m-3n-4k2=7m2+-3n2+-4k2+2×7m×-3n+2×-3n×-4k+2×-4k×7m=49m2+9n2+16k2-42mn+24nk-56km

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