Question

use the identity '(x+a) (x + b) = x² + (a + b) x + ab' to find the product
a. (x - 5) ( x - 1 )
b. (9x - 5 ) (9x - 1)​

Answer 1

Answer:

hope it will help you

plz mark brainlist and follow me for more answers

Answer 2

Step-by-step explanation:

a) Given product is (x - 5) ( x - 1 )

=>[x+(-5)][x+(-1)]

It is in the form of (x+a) (x + b)

Here, x=x ,a=-5 ,b=-1

we know that

(x+a) (x + b) = x² + (a + b) x + ab

=>[x+(-5)][x+(-1)]

=>x²+(-5-1)x+(-5)(-1)

=>x²-6x+5

(x - 5) ( x - 1 )=x²-6x+5

____________________________

b)Given product is (9x - 5 ) (9x - 1)

It can be written as [9x+(-5)][9x+(-1)]

It is in the form of x+a) (x + b)

Here, x=9x ,a=-5 ,b=-1

We know that

(x+a) (x + b) = x² + (a + b) x + ab

=>[9x+(-5)][9x+(-1)]

=>(9x)²+(-5-1)(9x)+(-5)(-1)

=>81x²-54x+5

(9x - 5 ) (9x - 1)=81x²-54x+5

__________________________________