Ответ:

1. [tex]49m^{2} -14m[/tex]

2. [tex]9m^{2} +16n^{2}[/tex]

3. [tex]100a-25a^{2}[/tex]

4. [tex]10xy-25[/tex]

5. [tex]12c[/tex]

6. [tex]-32-8a^{2}[/tex]

Объяснение:

1. [tex](7m-1)^{2} -1=49m^{2} -14m+1-1=49m^{2} -14m[/tex]

2. [tex](3m+4n)^{2} -24mn = 9m^{2} +24mn+16n^{2} -24mn = 9m^{2} +16n^{2}[/tex]

3. [tex]100-(10-5a)^{2} = 100-(100-100a+25a^{2} ) = 100-100+100a-25a^{2} = 100a-25a^{2}[/tex]

4. [tex]x^{2} y^{2} -(xy-5)^{2} =x^{2} y^{2} -(x^{2} y^{2} -10xy+25)=x^{2} y^{2} -x^{2} y^{2} +10xy-25 = 10xy-25[/tex]

5. [tex]c^{2} +36-(c-6)^{2} = c^{2} +36-(c^{2} -12c+36)=c^{2} +36-c^{2} +12c-36 = 12c[/tex]

6. [tex]a^{4} -16-(a^{2} +4)^{2} = a^{4} -16-(a^{4} +8a^{2} +16) =a^{4} -16-a^{4} -8a^{2} -16=-32-8a^{2}[/tex]