Question

Simplify the expression

Answer 1

Answer:

$\frac{(x+1)}{5x}$

Expression:

$\frac{x^{2}-8x-9 }{5x^{2} -45x}$

Factorise the expression:

Numerator:

x^2 - 8 - 9

Find a pair of factors of c, that summed, make b. And decide whether the numbers are positive or negative.

1 * 9 = 9

-1 * 9 = -9

1 * -9 = -9

-1 * -9 = 9

1 + 9 = 10

1 - 9 = -8

-1 + 9 = 8

-1 - 9 = -10

The factors are

(x+1) and (x-9)

Denominator

5x^2 - 45x

Remove the factor here is visible - 5x.

Divide the expression by 5x.

5x(x - 9)

Both expressions have a common factor - (x - 9). This will cancel out.

Now you're left with:

(x+1)/5x

$\frac{(x+1)}{5x}$

Answer 2

Answer:

B but - is missing in the answer

Step-by-step explanation:

x² - 8x - 9

5x² - 45x

express

x × x - 8 × x - 9

5 × x × x - 45 × x

-8 - 9

5 - 45

18 -9 = 1 and 5 - 45 = -40

-1/40