Factorise the expression 4(x+1)^2 -49 completely

(2x + 5)(2x - 9)

Step-by-step explanation:

(2x - 5)(2x + 9)

Step-by-step explanation:

4(x + 1)² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

4(x + 1)² - 49

= (2(x + 1))² - 7² → a = 2(x + 1) and b = 7

= (2(x + 1) - 7)(2(x + 1) + 7)

= (2x + 2 - 7)(2x + 2 + 7)

= (2x - 5)(2x + 9) ← in factored form

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

ian gonna lie that is way to much