1)(a^m+b^n)^2 2)(2x^m-3y^n)^2 3)(a^n+1+1/2b^2)^2 4)(5x^3-2y^n-1)^2 +b)^2-(a-3b)^2*2ab +2a)^2+(2a^ -a)^2)*5a^2

Question

Алгебра: 1)(a^m+b^n)^2 2)(2x^m-3y^n)^2 3)(a^n+1+1/2b^2)^2 4)(5x^3-2y^n-1)^2 +b)^2-(a-3b)^2*2ab +2a)^2+(2a^ -a)^2)*5a^2

ycidenis1 · Answer

1)(a^m+b^n)^2=a^2m+2a^mb^n+b^2n

2)(2x^m-3y^n)^2=4x^2m-12x^my^n+9y^2n

3)(a^n+1+1/2b^2)^2=a^2n+2 +a^n+1b^2+1/4b^4

4)(5x^3-2y^n-1)^2=25x^6-20x^3y^n-1+4y^2n-2

5)((3a+b)^2-(a-3b)^2*2ab

6)((a^2+2a)^2+(2a^ -a)^2)*5a^2={a^4+4a^3+4a^2+4a^4-4a^3+a^2}*5a^2={5a^4+5a^2}*5a^2=

=5a^2(a^2+1)*5a^2=25a^4(a^2+1)=25a^6+25a^4

1)(a^m+b^n)^2 2)(2x^m-3y^n)^2 3)(a^n+1+1/2b^2)^2 4)(5x^3-2y^n-1)^2 +b)^2-(a-3b)^22ab +2a)^2+(2a^ -a)^2)5a^2