Answer:
there is hint for u in the book darling
you can refer example 4 in the same book
Answer:
5 (x-2) (x²+2x+4)
Step-by-step explanation:
Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so
5x³ - 40 = 5(x³-8)
Now to factor x³-8, we can rewrite it in the format x³-2³, right?
And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this: x³-y³= (x-y)(x²+xy+y²)
So, we apply this formula replacing the y with our value of 2:
x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)
So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)
Answer:
a = -2 and b = 7
Step-by-step explanation:
We need to solve for the value of "a" and "b".
We need to distribute and make the left side of the equation same form as the right side of the equation and match the coefficients, simple.
We will use the distributive property shown below to expand the left side and simplify.
<u>Distributive Property:</u> a(b-c) = ab - ac
Now, simplifying left hand side:
5x - 7(x - 1)
= 5x -7(x) -7(-1)
= 5x -7x +7
= -2x + 7
The right hand side is "ax + b".
If we match left-hand side and right-hand side, we see that:
a = -2
and
b = 7
THese are the only solution.
