Упростите выражение: 1)(m+5)^2-(m-5)^2 2)(6-n)^2-(n+6)^2 3) (x+y)^2-(x-y)^2...

Question

Упростите выражение:
1)(m+5)^2-(m-5)^2
2)(6-n)^2-(n+6)^2
3) (x+y)^2-(x-y)^2
4)(2p-q)^2-(q+p)^2
5)(x-6)^2-9x^2
6) 4y^2 -(y+3)^2

Answer 1

1)(m+5)^2-(m-5)^2=m^2+10m+25-m^2-10m+25=50
2)(6-n)^2-(n+6)^2=72
3)(x+y)^2-(x-y)^2=2у^2
4)(2p-q)^2-(q+p)^2=4p^2-4pq+q^2-q^2+2pq+p^2=5p^2-2pq
6)4y^2 -(y+3)^2=3y^2-2y+3