How do you multiply (-20x -12)(-19x -15)?

1 Answer
May 9, 2018

380x^2+ 528x + 180

Explanation:

color(red)((-20x - 12)(-19x - 15))

doing this is like doing 2(x + 4)
you times the number outside the brackets, color(blue)(2), with everything inside the brackets, color(blue)((x + 4))
2 xx x = color(blue)(2x
2 xx 4 = color(blue)8
color(blue)(2x + 8)
2(x + 4) becomes 2x + 8

So, with color(red)((-20x - 12)(-19x - 15))
You times these together first...
(color(red)(-20x) - 12)(color(red)(-19x - 15))
like...
-20x xx -19x = color(blue)(380x^2
-20x xx -15 = color(blue)(300x

then you do the same with...
(-20x color(red)(-12))(color(red)(-19x - 15))
like...
-12 xx -19x = color(blue)(228x
-12 xx -15 = color(blue)(180)

When you put everything together, you get something like this
color(blue)(380x^2 + 300x + 228x + 180
And when you solve that...

380x^2 color(blue)(+ 300x + 228x) + 180
380x^2 color(blue)(+ 528x) + 180