The factors are
(x-y)(x-y)
or
(x-y)^2
Explanation:
We need to factor the trinomial
x^2-2xy+y^2
The factors of x^2 = (x)(x)
The factors of y^2 = (y)(y)
Since the second sign is positive we are adding the factors meaning the signs of the factors need to be the same. Since the first sign is negative both signs must be negative.
The factors are
(x-y)(x-y)
or
(x-y)^2
Check by FOIL
Firsts (x)(x) = x^2
Outers (x)(-y) = -xy
Inners (-y)(x) = -xy
Lasts (-y)(-y) = y^2
combine the middle terms
(-xy)+(-xy) = -2xy
<span>x^2-2xy+y^2</span>
Amount of down payment = $650.
Jordan gets money by mowing lawns = $25 per lawn.
Sharla gets money by selling handmade necklaces for = $15 each necklace.
The number of lawns Jordan mows = x.
The number of necklaces Sharla sells = y.
A) Total money raised by Jordan to move x lawns at the rate $25 per lawn = 25x.
Total money raised by Sharla by selling y handmade necklaces for $15 per necklace = 15y.
Total money Sharla can raise by selling 40 necklaces at the rate $15 each = 40 × 15 = $600.
<h3>B) Because <u>Sharla can raise maximum $600, therefore sharla can not afford the down payment with the money she earns selling her necklaces.</u></h3>