The product (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.
<h3>What is distributive property?</h3>
The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
First let w = y-4x make distribution a bit easier
(y−4x)(y^2 + 4y + 16)
now put the values of w in the equation
Here the value of a is 16.
Learn more about the distributive property:
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Answer:
D. 6x, 6y, 6z
Step-by-step explanation:
Like terms have the same set of variables in each term. Choice D has 3 different variables in the 3 different terms, so the terms are not "like" terms.
6x, 6y, 6z
Answer:
infinite number of solutions
Step-by-step explanation:
6(x + 7) = 6x + 42 ← distribute parenthesis on left side
6x + 42 = 6x + 42
Since the expressions on both sides are the same then any value of x will be a solution, that is
The equation has an infinite number of solutions
1/(3b)=4/5 multiply both sides by 5
5/(3b)=4 multiply both sides by 3b
5=12b divide both sides by 12
b=5/12 (not sure why you don't have that as an option in your answers, perhaps I misunderstood your description of the original equation...)