Question

How do you multiply `(5y - 3) ( 5y - 8)`?

Answer 1

See explanation.

Explanation:

To multiply 2 polynomials you have to multiply each term in one of the polynomials by each term of the other and then reduce the like terms:

`(5y-3)(5y-8)=`

`(5y)(5y)+(5y)(-8)+(-3)(5y)+(-3)(-8)=`

`=25y^2-40y-15y+24=25y^2-55y+24`

Answer 2

`25y^2-55y+24`

Explanation:

`color(blue)((5y-3)(5y-8)`

We can use the FOIL method to solve this

Now multiply the firsts

`rarr5yxx5y=25y^2`

Now multiply the outers

`rarr5yxx-8=-40y`

Now multiply the inners

`rarr-3xx5y=-15y`

Now multiply the lasts

`rarr-3xx-8=24`

Now put them all together

`rarr25y^2-40y-15y+24`

`color(green)(rArr25y^2-55y+24`

Hope that helps!!! ☺•☻

Answer 3

Given: `color(blue)((5y-3)) color(green)( (5y-8) )`

Multiply everything in the right brackets by everything in the left.
Note that the minus in `color(blue)(-3)` follows the three.

`color(green)(color(blue)(5y)(5y-8) color(blue)(color(white)("ddd")-color(white)("ddd")3)(5y-8))`

`25y^2-40ycolor(white)("ddddd") - 15y+24`

`25y^2-55y+24`

Answer 4

`color(magenta)(25y^2-55y+24`

Explanation:

`(5y-3)(5y-8)`

`color(white)(aaaaaaaaaaaaaa)` `5y-3`
`color(white)(aaaaaaaaaaa)` `xx underline(5y-8)`
`color(white)(aaaaaaaaaaaaa)` `25y^2-15y`
`color(white)(aaaaaaaaaaaaaaaaa)` `-40y+24`
`color(white)(aaaaaaaaaaaaa)` `overline(25y^2-55y+24)`

`color(white)(aaaaaaaaaaaaa)` `color(magenta)(25y^2-55y+24`