Question

(а+3b)( a² - 6ab - b²)

Answer 1

Ответ:

a^3 - 3a^2*b -17a*b^2 +3b^3

Объяснение:

(a+3b)(a^2 - 6ab - b^2)

a^3 -6a^2*b - a*b^2+3a^2*b-18a*b^2-3b^3

a^3 - 3a^2*b -17a*b^2 +3b^3

Answer 2

To expand the expression (a + 3b)(a² - 6ab - b²), you can use the distributive property, also known as FOIL (First, Outer, Inner, Last) method for multiplying two binomials. Here's how you can do it step by step:

(a + 3b)(a² - 6ab - b²)

First, multiply the terms in the first parentheses (a + 3b) by each term in the second parentheses (a² - 6ab - b²):

First: a * a² = a³ Outer: a * (-6ab) = -6a²b Inner: 3b * a² = 3ab² Last: 3b * (-6ab) = -18ab²

Now, combine these terms:

a³ - 6a²b + 3ab² - 18ab²

Next, simplify the expression by combining like terms:

a³ - 6a²b + (3ab² - 18ab²)

Now, combine the terms with "ab²":

a³ - 6a²b - 15ab²

So, the expanded expression is:

a³ - 6a²b - 15ab²