simplify (x - 2)(x - 8)(7x - 5)(x + 1)

Question

SIMPLIFYING 

Answer 1

Start off with

 

(x² - 10x + 16)(7x² + 2x - 5)

 

 

Then, think of the 2nd factor as the common factor of the expression.  Use (7x² + 2x - 5) as the common factor.

 

x²(7x² + 2x - 5) - 10x(7x² + 2x - 5) + 16(7x² + 2x - 5)

 

 

Finally, distribute all terms to get rid of parentheses and combine like terms.

Answer 2

Simplify: ( x - 2) (x - 8 ) ( 7x - 5) ( x + 1 )

 

Basically these can be multiplied in any order that you prefer, 

I will multiply the first two binomials and also the second two:

 

   ( x - 2 ) ( x - 8 ) ( 7x - 5 ) ( x + 1 )

 

=  ( x² -2x -8x +16 ) ( 7x² + 7x -5x -5)

 

=  ( x² -10x + 16) ( 7x² +2x -5 )

 

Multiply each term in the first set of Parenthesis times each term in the second set

 

=  7x⁴ +  2x³        -5x²

            -70x³     -20x²  + 50x

                        112x² + 32x - 80

 

=  7x⁴ - 68x³ + 87x² +82x -80

Answer 3

Use FOIL on the first two, then the second two.   Next multiply the trinomials, then combine the like terms.