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If A = 2y2 + 3x – x², B = 3x2 - y² and C = 5x2 – 3xy then find
(i) A+B (ii) A - B (iii) B+C (iv) B-C (v) A+B+C (vi) A+B-C
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(i)y²+2x²+3x
(ii)3y²-4x²+3x
(iii)8x²-y²-3xy
(iv)-2x²-y²+3xy
Step-by-step explanation:
(i)A+B=2y²=3x-x²+3x²-y²
=y²+2x²+3x
(ii)A-B=2y²+3x-x²-(3x²-y²)
=2y²+3x-x²-3x²+y²
=3y²-4x²+3x
(iii)B+C=3x²-y²+5x²-3xy
=8x²-y²-3xy
(iv)B-C=3x²-y²-(5x²-3xy)
=3x²-y²-5x²+3xy
= -2x²-y²+3xy
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