Question

Упростить выражения:
1)(3х+1)(3х-1)+(5х+1)^2=
2) (2a-b)^2-(2a+b)^2=
3) (2a-1)^2-(2a-3)(2a+3)=

Answer 1

1) 9x^2-1+25x^2+10x+1=34x^2+10x=2x(17x+5)
2)(2a-b+2a+b)*(2a-b-2a-b)=4a*(-2b)=-8ab
3)4a^2-4a+1-4a^2+9=-4a+9

Answer 2

1)(3х+1)(3х-1)+(5х+1)^2=9x^2-1+25x^2+10x+1=34x^2+10x=2x (17x+5)
2)(2a-b)^2-(2a+b)^2=4a^2-4ab+b^2-(4a^2+4ab+b^2)=4a^2-4ab+b^2-4a^2-4ab-b^2=-8ab
3)(2a-1)^2-(2a-3)(2a+3)=4a^2-4a+1-(4a^2-9)=4a^2-4a+1-4a^2+9=-4a+10