Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor the expression completely.

-100x^(2)+30x^(3)
Answer:

Factor the expression completely.\newline100x2+30x3 -100 x^{2}+30 x^{3} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline100x2+30x3 -100 x^{2}+30 x^{3} \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 100x2+30x3-100x^{2} + 30x^{3}.\newlineThe GCF of 100x2-100x^{2} and 30x330x^{3} is 10x210x^{2}.
  2. Factor out GCF: Factor out the GCF from the expression.\newline100x2+30x3=10x2(10+3x)-100x^{2} + 30x^{3} = 10x^{2}(-10 + 3x)
  3. Simplify expression: Simplify the factored expression.\newline10x2(10+3x)=10x2(3x10)10x^{2}(-10 + 3x) = 10x^{2}(3x - 10)\newlineWe rearrange the terms inside the parentheses for a standard form where the term with xx comes first.

More problems from Find derivatives of using multiple formulae