Yeahhhhhhhhhhhhhhhhhhhhhh
Saying 3/4 * 3 is the same thing as saying 3/4 of 3. Imagine you have 3 pies, each cut into 4 slices. That would be 3 * 4 = 12 slices of pie, right?
So when there's 12 slices, that would be 4/4 of the pies, since all the pieces are there.
To find out how many pies we would have with 3/4 of the pie left, we just need to multiply the original equation.
3 * 3/4 = 2 1/4
The product of those two numbers lies between 2 and 3.
Hope that helped =)
Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(3p2 - 7p) - 6
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
Okie, hope you a new year!
