3. T^2-25/t^2+t-20= (t-5) (t+5)/ (t-10) (t+2)
4. 2x^2+6x+4/4x^2-12x-16= 2(x+2) (x+1)/4 (x-4) (x+1)
5. 6-y/y^2-2y-24= 1/(y+4)
*Please check them.-
3. (t-5)(t+5) / (t+4)(t-5)
4. 2((x-1)(x+2)) / 4((x+4)(x-1))
5. (6-y) / (y+6)(y-4)
i don't really understand what this is...
but lol that's what i got?
sorry!!
No worries! Let's go through each of the expressions and simplify them to verify if they are correct.
3. To simplify the expression (t^2 - 25) / (t^2 + t - 20), we can factor the numerator and denominator:
Numerator: (t^2 - 25) = (t - 5)(t + 5)
Denominator: (t^2 + t - 20) = (t - 4)(t + 5)
Therefore, the expression becomes (t - 5)(t + 5) / (t - 4)(t + 5).
Notice that the (t + 5) terms in the numerator and denominator cancel out. So the simplified expression is (t - 5) / (t - 4).
4. For the expression (2x^2 + 6x + 4) / (4x^2 - 12x - 16), we can factor both the numerator and denominator:
Numerator: (2x^2 + 6x + 4) = 2(x + 1)(x + 2)
Denominator: (4x^2 - 12x - 16) = 4(x + 1)(x - 4)
The expression becomes 2(x + 1)(x + 2) / 4(x + 1)(x - 4).
Notice that the (x + 1) terms cancel out. So the simplified expression is 2(x + 2) / 4(x - 4).
5. For the expression (6 - y) / (y^2 - 2y - 24), we can also factor the numerator and denominator:
Numerator: (6 - y) = -(y - 6)
Denominator: (y^2 - 2y - 24) = (y - 6)(y + 4)
The expression becomes -(y - 6) / (y - 6)(y + 4).
Notice that the (y - 6) terms cancel out. So the simplified expression is -1 / (y + 4).
Therefore, your results for the simplified expressions are as follows:
3. (t - 5) / (t - 4)
4. 2(x + 2) / 4(x - 4)
5. -1 / (y + 4)
If you have any further questions, feel free to ask!