factor and divide
(x - 2)² +9 (x-2) by (x + 7)
Answers
There are several ways that you can get answer of the X, but there is a simple method where it doesn't involve user to perform hard work by expanding the (x - 2)^2. Only, there is a chance where they shift each term one side to another. An example:
2 * ( x - 2 )^2 = 18
First step: We can shift number 2 which is multipliying towards another side. This will allow the expression ( x - 2 )^2 to become independent.
( x - 2 )^2 = 18 / 2 - Note: when any term changes the position to another side itself should automatically invert the symbol. In this case, opposite of multiplication is dividing.
Second step: Now, we can solve the simple fraction such as 18 / 2 = 9. So, it will become ( x - 2 )^2 = 9.
Third step: Actually, now we can invert the exponent to another side which in case turns to be square root of nine.
x - 2 = sqr(9)
Fourth step finishing the equation:
x - 2 = 3
x = 3 + 2
x = 5
Checking the answer:
2 * ( 5 - 2 )^2 = 18
2 * (3)^2 = 18
2 * 9 = 18 Só, the x value is correct.
Best wishes
( x - 2 ) ² + 9 ( x - 2 ) ÷ ( x + 7 )
x ² - 4x + 4 + 9
x² - 4x + 13