Multiply the expression
(c^11)(2c^2)
When multiplying two terms with the same base, you add the exponents.
So in this case, you add the exponents of c: 11 + 2 = 13
The expression becomes: (c^13)(2)
Multiply the expression
(4u^3v^2)(-5u^5v)
When multiplying two terms with the same base, you add the exponents.
So in this case, we have:
(4u^3v^2)(-5u^5v)
Multiplying the numbers, we have:
4 * -5 = -20
Now, multiplying the variables u and v, we have:
u^3 * u^5 = u^(3 + 5) = u^8
v^2 * v = v^(2 + 1) = v^3
Putting it all together, the expression becomes:
-20u^8v^3
Multiply the polynomials.
9pq(7pq-3p+2q)
To multiply the polynomials, we will use the distributive property.
First, distribute 9pq to each term within the parentheses:
9pq * 7pq = 63p^2q^2
9pq * (-3p) = -27p^2q
9pq * 2q = 18pq^2
Now, combine the terms:
63p^2q^2 - 27p^2q + 18pq^2
multiply the polynomials
-6pq(7p^2-4pq^3-5q)
To multiply the polynomials, we will use the distributive property.
First, distribute -6pq to each term within the parentheses:
-6pq * 7p^2 = -42p^3q
-6pq * -4pq^3 = 24p^2q^4
-6pq * -5q = 30pq^2
Now, combine the terms:
-42p^3q + 24p^2q^4 + 30pq^2
multiply the polynomials
(5b-10)(3b-9)
To multiply the polynomials, we will use the distributive property.
First, distribute 5b to each term within the second set of parentheses:
5b * 3b = 15b^2
5b * -9 = -45b
Next, distribute -10 to each term within the second set of parentheses:
-10 * 3b = -30b
-10 * -9 = 90
Now, combine the terms:
(15b^2 - 45b) + (-30b + 90)
Simplifying further, we get:
15b^2 - 45b - 30b + 90
Combining like terms, we have:
15b^2 - 75b + 90
multiply the polynomials
(-6n+10)(9-4n)