Simplify.
u^3·u·u^5
To simplify this expression, we can add the exponents:
u^(3+1+5) = u^9
Multiply.
9y(−3y^8)
SIMPLIFY AS MUCH AS POSSIBLE
To simplify this expression, we can multiply the coefficients and add the exponents:
9 * -3 = -27
y^1 * y^8 = y^(1+8) = y^9
Therefore, the simplified expression is -27y^9.
Factor
−15a^3-12a^2
To factor the expression −15a^3 - 12a^2, we can first find the greatest common factor (GCF) of the two terms. The GCF of -15 and -12 is 3. The GCF of a^3 and a^2 is a^2.
So, we can factor out the GCF from each term:
-15a^3 - 12a^2 = 3a^2(-5a - 4)
Therefore, the factored form of the expression −15a^3 - 12a^2 is 3a^2(-5a - 4).
To simplify the expression u^3 · u · u^5, we can combine the like terms by adding their exponents.
First, let's rewrite the expression in terms of u raised to the power of one:
u^3 · u · u^5 = u^(3+1+5)
Now, sum up the exponents:
u^(3+1+5) = u^9
Therefore, the simplified expression is u^9.
To simplify the expression u^3 · u · u^5, let's start by combining the like terms by adding their exponents.
The expression can be rewritten as u^(3 + 1 + 5), which simplifies to u^9.
Therefore, the simplified form of the expression u^3 · u · u^5 is u^9.