Simplify combining like terms:5x2y – 5x2 + 3yx2 – 3y2 + x2 – y2 + 8xy2 – 3y2

Dear StudentWhen term have the same algebraic factors, they are like terms.Then,= 5x2y + 3yx2 –5x2 + x2 –3y2 –y2 –3y2= x2y (5 + 3) + x2 (- 5 + 1) + y2 (-3–1 -3) + 8xy2= x2y (8) + x2 (-4) + y2 (-7) + 8xy2= 8x2y - 4x2 –7y2 + 8xy2Thanks

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Grade 12th passAlgebra

Simplify combining like terms:
5x²y – 5x² + 3yx² – 3y² + x² – y² + 8xy² – 3y²

Harshit Singh

5 Years agoGrade 12th pass

1 Answer

Harshit Singh

5 Years ago

Dear Student

When term have the same algebraic factors, they are like terms.
Then,
= 5x²y + 3yx² –5x² + x² –3y² –y² –3y²
= x²y (5 + 3) + x² (- 5 + 1) + y² (-3–1 -3) + 8xy²
= x²y (8) + x² (-4) + y² (-7) + 8xy²
= 8x²y - 4x² –7y² + 8xy²

Thanks