The shirt cost 3 times $35.
The shoes cost 5 times $28.
3 * $35 = $105
5 * $28 = $140
$105 + $140 = $245
They cost $245.
Divide by three on both sides then end up with x+2=3 then x=1
Answer:
![-4x^5y^3-3x^4y^3+x^5y^2](https://tex.z-dn.net/?f=-4x%5E5y%5E3-3x%5E4y%5E3%2Bx%5E5y%5E2)
Step-by-step explanation:
You need to know this indice rule:
If you multiply two terms with the same base, then add their powers and multiply their coefficients.
: Here we have to multiply each term in the first pair of brackets by the term in the second pair of brackets.
So we can split this into parts:
![(4x^2y)(-x^3y^2) +(3xy)(-x^3y^2)+(-x^2)(-x^3y^2)](https://tex.z-dn.net/?f=%284x%5E2y%29%28-x%5E3y%5E2%29%20%2B%283xy%29%28-x%5E3y%5E2%29%2B%28-x%5E2%29%28-x%5E3y%5E2%29)
Now using the rule above expand the brackets:
: Notice how
since
so
.
: Be careful with negatives, two negatives make a positive.
Now add them all together:
![-4x^5y^3-3x^4y^3+x^5y^2](https://tex.z-dn.net/?f=-4x%5E5y%5E3-3x%5E4y%5E3%2Bx%5E5y%5E2)
C option is the correct answer