Need help simplifying math problems

please explain to me how to get an answer, and how you came to this conclusion with detailed steps...

(4c + 5)(5c - 6)

(2x - 5y)^2

Have you leared FOIL yet? If not then its this pattern. Take a curved line and draw it from 4c to 5c. That's what you multiply first. Then 4c * -6. Then 5 * 5c. Then lastly 5 *-6. Then do the same pattern for the other equation.

Ok so take 4c(5c) to get 20c^2
Then take 4c(-6) to get -24c
Then 5(5c) to get 25c
And then 5(-6) to get -30

So your equation for the 1st one is 20c^2-24c+25c-30 which simplifies to

20c^2+c-30. This cannot be simplified any further so this is it.

Then for the next one same thing

Take 2x(2x) to get 4x^2
then do 2x(-5y) to get -10xy
Next do -5y(2x) to get -10xy
and then finally -5y(-5y) to get 25y^2

Therefore you get 4x^2-10xy-10xy+25y^2 which simplifies to

4x^2-20xy+25y^2

Hope this helps

For these you use a method called FOIL.
(4c +5)(5c -6)

([4c*5c] +[4c*-6] +[5*5c]+ [5*-6])
first outer inner last

so the first number of each set, then the "outer ones" ( 4c and -6)
( [20c^2-24c+25c-30])
(20c^2 +c -30) simplified

for your second problem, its better to expand it out first.
(2x-5y)(2x-5y)
( [ 2x*2x] + [2x*-5y] +[-5y*2x]+ [-5y*-5y] )
( [4x^2] + [-10xy] + [-10xy] + [25y^2] )
( 4x^2 +25y^2) the 10xy term cancels out b/c one is positive and the other is negative.

hope it helped!

(4c + 5)(5c - 6) --> 20(c^2) + c - 30

(2x - 5y)^2 --> (2x - 5y)(2x - 5y) --> 4(x^2) - 20xy + 25(y^2)
*note* the parentheses in my answers aren't necessary, they just help to show the the ^2 only goes to the variable

when multiplying polynomials, just sure each term gets multiplied by all the terms outside of its parentheses, so 4c(5c - 6) + 5(5c - 6) --> 4c(5c) + 4c(- 6) + 5(5c) + 5(- 6), and the same for the second problem
hope this helps

(4c+5)(5c-6) = 20c^2 - 24c + 25c - 30 = 20c^2 + c - 30 (FOIL, First Outer Inner Last, then simplify.)

(2x-5y)^2 = (2x-5y)(2x-5y) = 4x^2 -10xy - 10xy + 25y^2 = 4x^2 + 25y^2 -20xy (That's as far as I can get it. FOIL again, then simplify again.)

1) 20c + 15c - 24c - 30 = 11c -30
2) 4x^2 - 25y^2

these don't really get to much simpler than there current form
you can like factor it out, but thats about it