Question

Раскройте скобки и приведите подобные a)(5x^3-3x^3-7)+(4+3x^2-5x^3)б)(z^2-3z+2)+(4z+8)+(3z^2-5)в)(3t^3-4t^2+7t)+(2t^2-6t+7)г)(2a^2+5a)+(-a^2+a)+(a^2-3a-5)ПОМОГИТЕ!!

Answer 1

A) 2x3 - 7 + 4 + 3x2 - 5x3 = -3x3 + 3x2 - 3 = -3 (x3-x2+1)
б)z2 - 3z + 2 + 4z + 8 + 3z2 - 5 = 4z2 + z +5
в)3t3-4t2+7t +2t2 - 6t +7= 3t3-2t2+t+7
г)2a2 + 5a - a2 + a + a2 -3a-5 = 2a2+3a-5

Answer 2

a) (5x^3 - 3x^3 - 7) + (4 + 3x^2 - 5x^3)

First, let's combine like terms:

5x^3 - 3x^3 = 2x^3 -7 + 4 = -3

Now, we can simplify the expression:

2x^3 + 3x^2 - 3x

b) (z^2 - 3z + 2) + (4z + 8) + (3z^2 - 5)

Combine like terms:

z^2 + 3z^2 = 4z^2 -3z + 4z = z 2 + 8 - 5 = 5

Simplified expression:

4z^2 + z + 5

c) (3t^3 - 4t^2 + 7t) + (2t^2 - 6t + 7)

Combine like terms:

3t^3 + 2t^2 = 5t^2 -4t^2 + 7t - 6t = -4t + t = -3t 7t + 7 = 14t

Simplified expression:

5t^2 - 3t + 14t = 5t^2 + 11t

г) (2a^2 + 5a) + (-a^2 + a) + (a^2 - 3a - 5)

Combine like terms:

2a^2 - a^2 + a^2 = 2a^2 5a + a - 3a = 3a -5

Simplified expression:

2a^2 + 3a - 5