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प्रश्न
Simplify and find the degree of the following expression.
10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)
उत्तर
10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)
= 10x2 – 3xy + 9y2 + (– 3x2 + 6xy + 3y2)
= 10x2 – 3xy + 9y2 – 3x2 + 6xy + 3y2
= (10x2 – 3x2) + (– 3xy + 6xy) + (9y2 + 3y2)
= x2(10 – 3) + xy(– 3 + 6) + y2(9 + 3)
= x2(7) + xy(3) + y2(12)
Hence, the degree of the expression is 2.
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