Question

Find the quotient if we divide x^7y - xy^7 by (x+y)(x^2 - xy +y^2)

Answer 1

i)
Algebraic Expression
• Terms are formed by the product of variables and constants, e.g. –3xy, 2xyz, 5x2, etc.
• Terms are added to form expressions, e.g. –2xy + 5x2.
• Expressions that contain exactly one, two and three terms are
called monomials, binomials and trinomials, respectively.
• In general, any expression containing one or more terms with non- zero coefficients (and with variables having non-negative exponents) is called a polynomial.
• Like terms are formed from the same variables and the powers of these variables are also the same. But coefficients of like terms need not be the same.
• There are number of situations like finding the area of rectangle, triangle, etc. in which we need to multiply algebraic expressions.
• Multiplication of two algebraic expressions is again an algebraic expression.
• A monomial multiplied by a monomial always gives a monomial.
• While multiplying a polynomial by a monomial, we multiply every term in the polynomial by the monomial using the distributive law a ( b + c) = ab + ac.

Answer 2

Answer:

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