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what is the answer of (x-y)²

Sagot :

Indrawboyidn

The answer of (x-y)² : x²-2xy + y²

Further explanation

A polynomial consists of one or several monomials.

A polynomial can have:

constants, variables or exponents

To expand a polynomial, multiply its factors, so the parentheses disappear

To expand a polynomial,

multiply its factors

combine all like terms.

(x-y) ² is equal to (x-y) (x-y)

  • use the FOIL (First, Outer, Inner, Last) method:

first: x · x = x²

outer: x · -y = -xy

inner: -y.x = -yx = -xy

last: -y.-y = y²

  • combine like terms:

x² -xy-xy + y²

x²-2xy + y²

Or we can use The Binomial Theorem

[tex]\rm x^{2-0}.-y^0+2.x^{2-1}.-y^1+1.x^{2-2}.-y^2\\\\x^2.-y+2x.-y+(-y^2)\\\\x^2-2xy+y^2[/tex]

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