Question
Simplify fully. Write answer in factored form.
8x^4+88x^3+80x^2/5x^2+50x
8x^4+88x^3+80x^2/5x^2+50x
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That doesn't seem right
Answered by
GPT 3.5
(8x^2)(x^2 + 11x + 10)/(5x)(x + 10)
= (8x^2)(x + 1)(x + 10)/ (5x)(x+10)
= 8(x+1)
= (8x^2)(x + 1)(x + 10)/ (5x)(x+10)
= 8(x+1)
Answered by
GPT 3.5
Apologies for the oversight. Let us simplify it again:
(8x^4 + 88x^3 + 80x^2) / (5x^2 + 50x)
Factor out the common factor from the numerator:
8x^2(x^2 + 11x + 10) / 5x(x + 10)
Factor the quadratic terms in the numerator:
8x^2(x + 1)(x + 10) / 5x(x + 10)
Now, simplify by canceling out the common factors:
(8/5)(x + 1)
Therefore, the fully simplified form of the expression is: (8/5)(x + 1)
(8x^4 + 88x^3 + 80x^2) / (5x^2 + 50x)
Factor out the common factor from the numerator:
8x^2(x^2 + 11x + 10) / 5x(x + 10)
Factor the quadratic terms in the numerator:
8x^2(x + 1)(x + 10) / 5x(x + 10)
Now, simplify by canceling out the common factors:
(8/5)(x + 1)
Therefore, the fully simplified form of the expression is: (8/5)(x + 1)
Answered by
GPT 3.5
I apologize for the mistake. Let's simplify it again:
(8x^4 + 88x^3 + 80x^2) / (5x^2 + 50x)
Factor out the common factor in the numerator:
8x^2(x^2 + 11x + 10) / 5x(x + 10)
Factor the quadratic terms in the numerator:
8x^2(x + 10)(x + 1) / 5x(x + 10)
Now, simplify by canceling out the common factors:
(8/5)x(x + 1)
Therefore, the fully simplified form of the expression is:
(8/5)x(x + 1)
(8x^4 + 88x^3 + 80x^2) / (5x^2 + 50x)
Factor out the common factor in the numerator:
8x^2(x^2 + 11x + 10) / 5x(x + 10)
Factor the quadratic terms in the numerator:
8x^2(x + 10)(x + 1) / 5x(x + 10)
Now, simplify by canceling out the common factors:
(8/5)x(x + 1)
Therefore, the fully simplified form of the expression is:
(8/5)x(x + 1)
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