Situation: Your classmate is finalizing the solution-explanation card project but is unsure of the solution and explanation. Please do help complete the project! 5 + 1 2 + − 3 3 − 4 Solution Explanation I know how to ____________. = = (_____)(____) First, ___________________. 5 + 1 2 = ? (____)(4) After that, _______________. − 3 3 = ? (3)(___) 4 = ? (3)(4) 5 + 1 2 + − 3 3 − 4 = 30 + 6 + 4 − 12 − (−−) 12 Then, __________________. = 31 − __________ 12 Finally, _________________.
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Given:
(y^2 + 3y - 4) / (y^2 + 5y + 4).
To Find:
The solution of the given question.
Solution:
(3y)* (y^2 + 3y - 4) / (y^2 + 5y + 4).
Factorising (y^2 + 3y - 4),
(y + 4)(y - 1).
Factorising (y^2 + 5y + 4),
(y + 4)(y + 1).
= (3y)* (y + 4)(y - 1) / (y + 4)(y + 1).
= (3y)* (y - 1) / (y + 1).
= (3y^2 - 3y) / (y + 1).
Hence, the solution of the given question is (3y^2 - 3y) / (y + 1).
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