what is the answer of this (x+y)(x+y)


Sagot :

(x+y)(x+y) = x² + 2xy + y²

Using the FOIL Method
Multiply the first terms.
(x)(x) = x²

Multiply the first term of the first and last term of the second.
(x)(y) = xy

Multiply the last term of the first and first term of the second.
(y)(x) = xy

Lastly, multiply the last terms.
(y)(y) = y²

Put the answers respectively together.
x² + xy + xy + y²

Add the like terms. (the like terms are underlined)
x² + xy + xy + y²
xy + xy = 2xy

Then we have the answer:
x² + 2xy + y²
                                                                             -KookEin
Multiply each term of the polynomial by the terms of another polynomial.

x · x = x²
x · y = xy
y · x = xy
y · y = y²

x² + xy + xy + y²
Combine like terms
x² + xy² + y²                      is the final answer