How do I factor the equation?
y= -x^2 + 4x + 5

The factors of the given equation is (x-5) and (x+1).

Step-by-step explanation:

Given,

y = -

To find the factors of the given equation.

We will apply middle term factor method.

To find the factor we have to take y = 0

So,

- = 0

or,

or,

or, -x(x-5)-1(x-5) = 0

or, (x-5)(-x-1) = 0

or, (x-5)(x+1) = 0

Hence,

The factors of the given equation is (x-5) and (x+1).

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: