Question

(3а³-а²+а)(-5а²) = .... (-2ах²+3ах-а²)(-а²х²) = ...(-0,5с⁴d)³(-4с²d²)²(-pq)⁶(6p²q)³(3mn)⁴(-3mn²)³​

Answer 1

Ответ:

1) -15a^5+5a^4-5a^3

2)2a^3 x^4-3a^3 x^3+a^4 x^2

3) -2c^16 d^7

4) 216p^12 q^9

5) -2187^7 n^10

Answer 2

Let's simplify each expression step by step:

1. (3a³ - a² + a)(-5a²) Applying the distributive property, we multiply each term inside the parentheses by -5a²: -5a²(3a³) - 5a²(a²) - 5a²(a) = -15a^5 + 5a^4 - 5a^3

2. (-2ax² + 3ax - a²)(-a²x²) Again, using the distributive property, we multiply each term inside the parentheses by -a²x²: -a²x²(-2ax²) - a²x²(3ax) - a²x²(-a²) = 2a³x^4 - 3a²x^3 + a^4x^2

3. (-0.5c⁴d)³(-4c²d²)²(-pq)⁶(6p²q)³(3mn)⁴(-3mn²)³ Applying the exponent rules, we can simplify each term: = (-0.5)³c^(43)d³(-4)²c^(22)d^(22)(-p)⁶q⁶(6)³p^(23)q³(3m)⁴(n)³(-3)(m)^(1+1) n^(2+1) = -0.125c^12d^3 * 16c^4d^4 * p^6q^6 * 216p^6q^3 * 81m^4n^3 * (-3m^2n^2) = -0.125 * 16 * 216 * 81 * -3 * c^12c^4 * d^3d^4 * p^6p^6 * q^6q^3 * m^4m^2 * n^3n^2 = -14,976c^16d^7p^12q^9m^6n^5

Therefore: (3a³ - a² + a)(-5a²) = -15a^5 + 5a^4 - 5a^3 (-2ax² + 3ax - a²)(-a²x²) = 2a³x^4 - 3a²x^3 + a^4x^2 (-0.5c⁴d)³(-4c²d²)²(-pq)⁶(6p²q)³(3mn)⁴(-3mn²)³ = -14,976c^16d^7p^12q^9m^6n^5