Key: a^2 is the "computer" way of writing a squared.
a^2 + 11a + 18 = 0
What two numbers add up to 11 and multiply to be 18?
(a+2)*(a+9)=0
Set both of the parenthesis ( ) pairs to 0 and solve.
a+2=0
subtract two from both sides
a= -2
now the other parenthesis ( ) pair
a+9=0
subtract nine from both sides
a= -9
So the answer turns out to be that a = -2 and -9.
As written, that's 12a + 18 which factors to 6(2a + 3) a^2 + 11a + 18 = (a + 9)(a + 2)
b= 10
The given expression can be simplified to: 3X squared +27
11a+9 = 4a+30 11a-4a = 30-9 7a = 21 Solution: a = 3
(12x2 + 18) / (3x2 + 6) = (4x2 + 6) / (x2 + 2)
As written, that's 12a + 18 which factors to 6(2a + 3) a^2 + 11a + 18 = (a + 9)(a + 2)
12 squared plus 18 squared is equal to 468.
b= 10
The given expression can be simplified to: 3X squared +27
11a+9 = 4a+30 11a-4a = 30-9 7a = 21 Solution: a = 3
5x squared plus 33x plus 18 = (5x + 3)(x + 6) x = -6, -3/5
(12x2 + 18) / (3x2 + 6) = (4x2 + 6) / (x2 + 2)
2a + 11a - 5a = 8a
9a + 3b - 11a - 4b = -2a -b
11a+11b
x2 + 18x = x(x + 18) which cannot be simplified further.
If that's -18y2, the answer is (3x - 2y)(x + 9y)