3(x-1)2+3(y+3)=243
3(x-1)2+3y+9=243
3(x2-1)+3y+9=243
3x2-3+3y+9=243
32+3y-3+9=243
32+3y=243+3-9
3y(y+1)=237
Answer:
-8x+12
You have to distrivute the -4 into the parenthesis so to solve the problem you multiply -4*(-2x)+=-8x and -2*(-3)=6
<span>Find the least common multiple (LCM) of 100x5y and 12x3y4
</span><span>
</span>12: 2x2x3
100: 2x2x5x5
LCM: 2x2x3x5x5 = 300
LCM<span> of 100 and 12 is 300</span><span>
</span>LCM<span> of x^5 and x^3 is x^5
</span>LCM<span> of y^ and y^4 is y^4
Answer
LCM = 300x^5y^4</span>
let's firstly convert the mixed fraction to improper fraction and then divide.
namely how many times does 1/4 go into 2 and 2/4.
![\bf \stackrel{mixed}{2\frac{2}{4}}\implies \cfrac{2\cdot 4+2}{4}\implies \stackrel{improper}{\cfrac{10}{4}}\implies \cfrac{5}{2} \\\\\\ \cfrac{5}{2}\div \cfrac{1}{4}\implies \cfrac{5}{2}\cdot \cfrac{4}{1}\implies \cfrac{5}{1}\cdot \cfrac{4}{2}\implies 5\cdot 2\implies 10](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B2%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B10%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B5%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B1%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B2%7D%5Cimplies%205%5Ccdot%202%5Cimplies%2010)
5c - 7(2c - 4)
Distribute the 7 to everything inside the parenthesis.
5c - 14c + 28
Combine similar terms.
-9c + 28.
Hope that helped! :)