Answer:
-19 y^2 + 18 x y + 13 x^2
Step-by-step explanation:
Simplify the following:
16 x^2 + 15 x y - 19 y^2 - (3 x^2 - 3 x y)
Factor 3 x out of 3 x^2 - 3 x y:
16 x^2 + 15 x y - 19 y^2 - 3 x (x - y)
-3 x (x - y) = 3 x y - 3 x^2:
16 x^2 + 15 x y - 19 y^2 + 3 x y - 3 x^2
Grouping like terms, 16 x^2 + 15 x y - 19 y^2 - 3 x^2 + 3 x y = -19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2):
-19 y^2 + (15 x y + 3 x y) + (16 x^2 - 3 x^2)
x y 15 + x y 3 = 18 x y:
-19 y^2 + 18 x y + (16 x^2 - 3 x^2)
16 x^2 - 3 x^2 = 13 x^2:
Answer: -19 y^2 + 18 x y + 13 x^2
Well 9x6.4=57.6. Thats the closest to 57
Answer:
He has 60 paper clips before giving some away.
Step-by-step explanation:
Before : 5x : 3x
After: 5x - 12 = 3x + 12
5x - 12 = 3x + 12
First, we need to take away the smallest value of x from the largest.
-3x
2x - 12 = 12
Then, we need to add +12 to get rid of -12 on the lefthand side.
2x = 24
Divide by 2 to get x on its own.
x = 12
Bert had 5x so we need to multiply x (what we found as 12) by 5. 12 x 5 = 60. Bert had 60 paper clips before he gave some away.
We can prove this answer as correct, too.
5 x 12 = 60
3 x 12 = 36
60 - 12 = 36 + 12
48 = 48
Hope this helps, have a good day. :D