Mathematics
How much more than 2x2 + 4xy + 2y2 is 5x2 + 10xy - y2?
Algebraic Expressions
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Answer
Let 5x2 + 10xy - y2 be more than 2x2 + 4xy + 2y2 by Z.
2x2 + 4xy + 2y2 + Z = 5x2 + 10xy - y2
⇒ Z = 5x2 + 10xy - y2 - (2x2 + 4xy + 2y2)
⇒ Z = 5x2 + 10xy - y2 - 2x2 - 4xy - 2y2
Arrange the polynomial with like terms together and combine them.
⇒ Z = (5x2 - 2x2) + (10xy - 4xy) + (- y2 - 2y2)
⇒ Z = 3x2 + 6xy - 3y2
Hence, the number is 3x2 + 6xy - 3y2.
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