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MissTica
3 years ago
9

How do you factor 5x^2b^2 + 14xb^2 -3b^2

Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

5b^2(x-0.2)(x+3)

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of b^2. You can therefore factor that out first:

5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

5b^2(x-0.2)(x+3)

Hope this helps!

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