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The answer of (x-y)² : x²-2xy + y²
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)
first: x · x = x²
outer: x · -y = -xy
inner: -y.x = -yx = -xy
last: -y.-y = y²
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]
multiplication of algebraic expressions
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