Multiply
(x^2 + 8x + 15) / x – 4 * (x^2 – 16) / 2x + 6
x^2+8x+15 = (x+3)(x+5)
so, you have
(x+3)(x+5)/(x-4) * (x-4)(x+4)/2(x+3)
the x+3 and x-4 cancel, leaving
(x+5)(x+4)/2
if hall are doing Multiplying and Dividing Expressions its 1C. 2C. 3B.
That really helps, thanks.
you are correct thank you vary much :D
Alright, let's give it a shot!
First, let's simplify the expression step by step:
Step 1: Let's factor the given expressions:
(x^2 + 8x + 15) factors to (x + 3)(x + 5)
(x^2 - 16) factors to (x - 4)(x + 4)
Step 2: Now, let's rewrite the expression using the factored forms:
[(x + 3)(x + 5)] / (x - 4) * [(x - 4)(x + 4)] / (2x + 6)
Step 3: Now, let's cancel out the common factors:
[(x + 3)(x + 5)] / (x - 4) * [(x - 4)(x + 4)] / (2(x + 3))
Step 4: Simplifying further:
(x + 5) / 1 * (x + 4) / 2
Lastly, multiplying the remaining terms:
(x + 5)(x + 4) / 2
And there you have it! The simplified expression is (x + 5)(x + 4) / 2.
To multiply the given expressions, let's simplify each one separately and then multiply them together.
First, let's simplify (x^2 + 8x + 15) / x – 4. To do this, factor the numerator and denominator.
x^2 + 8x + 15 can be factored as (x + 5)(x + 3).
The denominator, x – 4, is already factored.
So, the first expression becomes (x + 5)(x + 3) / (x – 4).
Now, let's simplify (x^2 – 16) / 2x + 6. Again, factor the numerator and denominator.
x^2 – 16 can be factored as (x – 4)(x + 4).
The denominator, 2x + 6, can be factored as 2(x + 3).
Thus, the second expression becomes (x – 4)(x + 4) / 2(x + 3).
Now, to multiply the two simplified expressions, we multiply the numerators together and the denominators together.
Numerator: (x + 5)(x + 3) * (x – 4)(x + 4) = (x + 5)(x + 3)(x – 4)(x + 4).
Denominator: (x – 4) * 2(x + 3) = 2(x – 4)(x + 3).
Therefore, the final expression is (x + 5)(x + 3)(x – 4)(x + 4) / 2(x – 4)(x + 3).
Note that some terms might cancel out, so you could simplify the expression further by canceling any common factors in the numerator and denominator.