Question

(3а+2b )*(5a-b)= (X+3)*(x^2+2x-6)= b(b+1-3(b+1)= (a^2-b^2)*(2a+b)-an(a+b)=

Answer 1

вот, вроде так должно быть

Answer 2

Let's simplify each expression step by step:

1. (3a + 2b) * (5a - b):

To simplify this expression, you can use the distributive property (FOIL method): (3a + 2b) * (5a - b) = 3a * 5a + 3a * (-b) + 2b * 5a + 2b * (-b)

Now, multiply each pair of terms: = 15a^2 - 3ab + 10ab - 2b^2

Combine like terms: = 15a^2 + 7ab - 2b^2

2. (X + 3) * (x^2 + 2x - 6):

Again, use the distributive property: (X + 3) * (x^2 + 2x - 6) = X * x^2 + X * 2x + X * (-6) + 3 * x^2 + 3 * 2x + 3 * (-6)

Now, multiply each pair of terms: = Xx^2 + 2Xx - 6X + 3x^2 + 6x - 18

Combine like terms: = (X + 3)x^2 + (2X + 6)x - 6X - 18

3. b(b + 1 - 3(b + 1)):

Start by simplifying the expression inside the brackets: b + 1 - 3(b + 1) = b + 1 - 3b - 3

Now, continue simplifying: b(b + 1 - 3(b + 1)) = b(b - 2)

Use the distributive property: = b^2 - 2b

4. (a^2 - b^2) * (2a + b) - an(a + b):

To simplify this expression, first factor the difference of squares in the first part: (a^2 - b^2) = (a + b)(a - b)

Now, the expression becomes: (a + b)(a - b) * (2a + b) - an(a + b)

Use the distributive property for the first part: = (a + b) * 2a(a - b) + (a + b) * b(a - b) - an(a + b)

Now, multiply each pair of terms: = 2a(a^2 - ab + b^2) + b(a^2 - ab + b^2) - a^2n - abn

Combine like terms: = 2a^3 - 2a^2b + 2ab^2 + a^2b - ab^2 + b^3 - a^2n - abn

Finally, rearrange terms: = 2a^3 + (-2a^2b + a^2b) + (2ab^2 - ab^2) + b^3 - (a^2n + abn)

Simplify further: = 2a^3 - ab^2 + b^3 - an(a + b)

Please note that the last expression might be further simplified depending on the context or specific values of 'a' and 'b'.