Question

РАзложите на множители: 64c^2-25n^2;m^2-49;a^2-100c^2;121p^2-4m^2;36p^2-81a^2;121p^2-36n^2;81-b^2;1-c^2;p^2-144;4c^2-16m^2;(3b+4)^2-1;1-(3c+2)^2;(2n+6)^2-121;4-(6c+3)^2;(p+6)^2-196

Answer 1

64c² -25n² =(8c-5n)(8c+5n)

m² -49 =(m -7)(m +7)

a² -100c² =(a -10c)(a +10c)

121p²-4m²=(11p-2m)(11p+ 2m)

36p² -81a²=(6p-9a)(6p+9a)

121p²-36n²=(11p-6n)(11p+6n)

81 -b² =(9 -b)(9 +b)

1 -c² =(1 -c)(1 +c)

p² -144 =(p -12)(p +12)

4c² -16m² =4(c² -4m²) = 4(c -2m)(c +2m)

(3b +4)² -1 =(3b+4-1)(3b+4+1) =(3b+3)(3b+5)=3(b+1)(3b+5)

1-(3c+2)² =(1-3c-2)(1+3c+2) = (-3c -1)(3c +3)= -3(3c+1)(c+1)

(2n+6)² -121=(2n+6-11)(2n+6 +11) =(2n -5)(2n +17)

4 -(6c +3)² =(2-6c-3)(2+6c+ 3) =(-6c -1)(6c +5)

(p+6)²-196=(p+6-14)(p+6+14) =(p -8)(p +20)