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
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
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