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Exam Question : Usage of Binomial Formula

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Harry - a vivd reader of askalwayslovely.blogspot.com sent me an email asking about solving of the following question. He did it using trial and error. I believe it will take him some time. He felt that his approach was not the best so he emailed me asking for alternatives.

In fact for this question, there is a step by step way which will get us the answer in less than 8 minutes time.

Question: If the coefficient of x^k and x^(k+1) in the expansion of (2x+3)^19 are equal, find k

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  • Filed under: A-Math
  • Plane Geometry is the new topic added in the new syllabus. There are hardly any calculations but lots of proving to be done.
    We know students dislike proving, be it in Plane Geometry, Trigonometry, Quadratic Equations, Differentiation . . .

    To score As in your exam, you must be good in proving.

    Plane Geometry has proven to be a challenging topic for many students due to the nature of the diagrams, questions. Many a times, students do not know when to begin, not to mention which theorems to apply. I am going to share with you in this post on the key concepts you need to know at your fingertips for Plane Geometry.

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  • Filed under: A-Math
  • I posted an interesting question on Integration here.

    Allow me to repeat. There isn’t any product rule nor quotient rule in Integration.

    So to Integrate the question, some “extra” work must be done to “dissolve” the product nature of the question.

    These are the steps that must be taken even before Integration beings:

    1. Factorise the terms inside the Square Root
    2. Combine common term (2x+1) by applying Indices Law
    3. Remember to + c as this is a indefinite integral aka no limits given

    integration-product1.PNG

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    Hi, I am Ai Ling ONG as known affectionately as alwaysLovely. I have been coaching hundreds of Singapore students in Mathematics for the last 10 years. I started singaporeolevelmaths.com in 2007 to help students to enjoy learning of Mathematics and scoring more marks in their examinations by providing useful strategy for understanding challenging concepts easily. I enjoy working with students who are taking their GCE O Level Exams. To contact me, you may email me ailing [at] singaporeolevelmaths.com Click HERE to read more about me.

    Ai Ling ONG

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