The correct simplified form is:
Start fraction x minus five over two end fraction multiplied by start fraction x plus four over x plus three end fraction.
What is the simplified form of the product Start fraction x squared plus eight x plus fifteen over x minus four end fraction times start fraction x squared minus sixteen over two x plus six end fraction.
Start fraction left parenthesis x minus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.
Start fraction left parenthesis x plus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.
Start fraction left parenthesis x plus five right parenthesis left parenthesis x minus four right parenthesis over two end fraction.
Start fraction left parenthesis x minus five right parenthesis left parenthesis x minus four right parenthesis over two end fraction.
3 answers
are you sure
Apologies for the confusion. Let's simplify the given expression:
Start fraction (x^2 + 8x + 15)/(x - 4) end fraction * start fraction (x^2 - 16)/(2x + 6) end fraction
Factoring the numerators in both fractions:
(x + 3)(x + 5)/(x - 4) * (x + 4)(x - 4)/(2(x + 3))
Simplifying further by cancelling out the (x + 3) and (x - 4) terms:
= (x + 5) * (x + 4) / 2
= (x^2 + 9x + 20) / 2
Therefore, the simplified form of the product is:
Start fraction (x^2 + 9x + 20)/2 end fraction.
Start fraction (x^2 + 8x + 15)/(x - 4) end fraction * start fraction (x^2 - 16)/(2x + 6) end fraction
Factoring the numerators in both fractions:
(x + 3)(x + 5)/(x - 4) * (x + 4)(x - 4)/(2(x + 3))
Simplifying further by cancelling out the (x + 3) and (x - 4) terms:
= (x + 5) * (x + 4) / 2
= (x^2 + 9x + 20) / 2
Therefore, the simplified form of the product is:
Start fraction (x^2 + 9x + 20)/2 end fraction.
1 answer