Question

УПРОСТИТЕ ВЫРАЖЕНИЯ : СРОЧНО БЛАГАДАРЮ.ПРОШУ УМАЛЯЮ 1)(m^3+6n^2)^2-(6n^2-m^3)^2 2)(x^2-7y^3)^2+(x^2+7y^3)^2 3)(9z+2x^4)^2-(2x^4-9z)^2 4)(5a^3-4b)^2+(4b+5a^3)^2

Answer 1

1)(6n^2+m^3-6n^2+m^3)(6n^2+m^3+6n^2--m^3)=2m^3*12n^2=24m^3n^2
2)x^4-14x^2y^3+49y^6+x^4+14x^2y^3 +49y^6=2x^4+98y^6
3)(2x^4+9z-2x^4+9z)(2x^4+9z+2x^4-9z)=
18z*4x^4=72zx^4
4) (5a^3-4b)^2+(4b+5a^3)^2=25a^6-40a^3b+16b^2+25a^6+40a^3b+16b^2=50a^6+32b^2

Answer 2

1. (m^3 + 6n^2)^2 - (6n^2 - m^3)^2

Expanding the expression and simplifying, we get:

(m^6 + 12m^3n^2 + 36n^4) - (36n^4 - 12m^3n^2 - m^6)

Simplifying further, we can cancel out the common terms:

2m^6 + 24m^3n^2 + 72n^4

2. (x^2 - 7y^3)^2 + (x^2 + 7y^3)^2

Expanding the expression and simplifying, we get:

(x^4 - 14x^2y^3 + 49y^6) + (x^4 + 14x^2y^3 + 49y^6)

Simplifying further, we can combine the like terms:

2x^4 + 98y^6

3. (9z + 2x^4)^2 - (2x^4 - 9z)^2

Expanding the expression and simplifying, we get:

(81z^2 + 36zx^4 + 4x^8) - (4x^8 - 36zx^4 + 81z^2)

Simplifying further, we can cancel out the common terms:

72z*x^4

4. (5a^3 - 4b)^2 + (4b + 5a^3)^2

Expanding the expression and simplifying, we get:

(25a^6 - 40a^3b + 16b^2) + (16b^2 + 40a^3b + 25a^6)

Simplifying further, we can combine the like terms:

50a^6 + 32b^2