Question

Упростите выражение ​

Answer 1

Объяснение:

35.1.

1) (m^3 +6n^2)^2 -(6n^2 -m^3)^2=(m^3 +6n^2 -6n^2 +m^3)(m^3 +6n^2 +6n^2 -m^3)=2m^3 •12n^2=24m^3 •n^2

2) (x^2 -7y^3)^2 +(x^2 +7y^3)^2=x^4 -14x^2 •y^3 +49y^6 +x^4 +14x^2 •y^3 +49y^6=2x^4 +98y^6

3) (9z+2x^4)^2 -(2x^4 -9z)^2=(9z+2x^4 -2x^4 +9z)(9z+2x^4 +2x^4 -9z)=18z•4x^4=72x^4 •z

4) (5a^3 -4b)^2 +(4b+5a^3)^2=25a^6 -40a^3 •b +16b^2 +16b^2 +40a^3 •b+25a^6=50a^6 +32b^2

35.2.

1) (1,1x^2 -6y)^2 -(1,1x^2 -6y)(1,1x^2 +6y)=(1,1x^2 -6y)(1,1x^2 -6y-1,1x^2 -6y)=(1,1x^2 -6y)(-12y)=-13,2x^2 •y+72y^2

2) (2,3a-7b^3)(2,3a+7b^3)-(2,3a+7b^3)^2=(2,3a+7b^3)(2,3a-7b^3 -2,3a-7b^3)=(2,3a+7b^3)(-14b^3)=-32,2ab^3 -98b^6

3) (3,1n^3 -5m)^2 +(5m-3,1n^3)(5m+3,1n^3)=(5m-3,1n^3)(5m-3,1n^3 +5m+3,1n^3)=(5m-3,1n^3)•10m=50m-31n^3