6xy3z • 3x2yx2

The product of and is

Step-by-step explanation:

Consider the given expression, and

We have to multiply the above two expressions.

we first simplify the second expression

Consider the product,

Using , We get ,

Thus, the product of and is

1)

2)

3)

4) 40

5)

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

4) is a square of a sum, then, by definition you have:

Then:

The coefficient of the second term is the number in front of the variable a. Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

1. y^2 - 3y - 5 - (-y^2 - 7y + 4) = y^2 - 3y - 5 + y^2 + 7y - 4 =

2y^2 + 4y - 9 <===

2. 6xy^3z * 3x^2yx^2 = 18x^5y^4z

3. -3x^3(-2x^2 + 4x - 3) = 6x^5 - 12x^4 + 9x^3

4. (6p + 2)^2 = (6p + 2)(6p + 2) = 36p^2 + 12p + 12p + 4 =

36p^2 + 24p + 4coefficient is 24

5. (x - 5)(x^2 - 2x - 6) = x(x^2 - 2x - 6) - 5(x^2 - 2x - 6) =

x^3 - 2x^2 - 6x - 5x^2 + 10x + 30 =

x^3 - 7x^2 + 4x + 30 <===

2y^2 + 4y - 9 <===

2. 6xy^3z * 3x^2yx^2 = 18x^5y^4z

3. -3x^3(-2x^2 + 4x - 3) = 6x^5 - 12x^4 + 9x^3

4. (6p + 2)^2 = (6p + 2)(6p + 2) = 36p^2 + 12p + 12p + 4 =

36p^2 + 24p + 4coefficient is 24

5. (x - 5)(x^2 - 2x - 6) = x(x^2 - 2x - 6) - 5(x^2 - 2x - 6) =

x^3 - 2x^2 - 6x - 5x^2 + 10x + 30 =

x^3 - 7x^2 + 4x + 30 <===

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