Answer:
(2a +b)·(13a^2 -5ab +b^2)
Step-by-step explanation:
The factorization of the difference of cubes is a standard form:
(p -q)^3 = (p -q)(p^2 +pq +q^2)
Here, you have ...
so the factorization is ...
(3a -(a -b))·((3a)^2 +(3a)(a -b) +(a -b)^2) . . . . substitute for p and q
= (2a +b)·(9a^2 +3a^2 -3ab +a^2 -2ab +b^2) . . . . simplify a bit
= (2a +b)·(13a^2 -5ab +b^2) . . . . . . collect terms
Answer:
The bench costs $350
Step-by-step explanation:
et the cost of the bench = x
the cost of the garden table = x + 94
x + (x + 94) = 794
2x + 94 = 794
2x = 700
x = 350
The bench costs $350 and the garden table costs 350 + 94 = $444
<span>Multiply the number in the tens place of the bottom number by the number in hundreds place of the top number. Multiply 3 times 7 to equal 21. Add the 1 you carried to equal 22. You don't need to carry the 2 in 22, as there are no more numbers to multiply on this line, so you can just write it down next to the 6.</span>
Answer:
Step-by-step explanation:
6x∧2-7x-3=0
the coefficient of x² multiplied by -3 = -18
we need to look for 2 numbers that when we add it to together it will equate to -7x
+2 and -9 is the answer
6x∧2+2x-9x-3=0
2x(3x+1)-3(3x+1)=0
(2x-3)(3x+1)=0
equate each brackets to 0
2x-3=0 3x+1=0
2x=3 3x=-1
x=3/2 x=-1/3