Question

1)(а+2)^3= 2)(а+3в)^3= 3)(в-4)^3= 4)(2а-3)^3= 5)18а+(а-9)^2= 6)(а+2а)^2-4в^2=

Answer 1

1) a^3+6a^2+12a+8
2)a^3+9a^2b+27ab^2+27b^3
3)b^3-12b^2+48b-64
4)8a^3-36a^2+54a-27
5)a^2+81
6)(3a-2b)x(3a+2b)

Answer 2

Let's solve each equation one by one:

1. (a+2)^3:

Expanding the equation using the binomial formula, we have: (a+2)^3 = a^3 + 3a^2(2) + 3a(2^2) + 2^3 = a^3 + 6a^2 + 12a + 8

2. (a+3b)^3:

Expanding the equation using the binomial formula, we have: (a+3b)^3 = a^3 + 3a^2(3b) + 3a(3b^2) + (3b)^3 = a^3 + 9a^2b + 27ab^2 + 27b^3

3. (b-4)^3:

Expanding the equation using the binomial formula, we have: (b-4)^3 = b^3 - 3b^2(4) + 3b(4^2) - 4^3 = b^3 - 12b^2 + 48b - 64

4. (2a-3)^3:

Expanding the equation using the binomial formula, we have: (2a-3)^3 = (2a)^3 - 3(2a)^2(3) + 3(2a)(3^2) - 3^3 = 8a^3 - 36a^2 + 54a - 27

5. 18a + (a-9)^2:

Expanding the equation, we have: (a-9)^2 = (a-9)(a-9) = a^2 - 18a + 81 Therefore, 18a + (a-9)^2 = 18a + a^2 - 18a + 81 = a^2 + 81

6. (a+2a)^2 - 4b^2:

Simplifying the equation, we have: (a+2a)^2 - 4b^2 = (3a)^2 - 4b^2 = 9a^2 - 4b^2

I hope this helps! Let me know if you have any further questions.