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𝟐𝒙+𝟑𝒚 কে 𝟑𝒙+𝟐𝒚 দ্বারা গুণ করলে গুণফল কত?6𝑥2+13𝑥𝑦−6𝑦26x 2 +13xy−6y 2 6𝑥2+13𝑥𝑦+5𝑦26x 2 +13xy+5y 2 6𝑥2+13𝑥𝑦+6𝑦26x 2 +13xy+6y 2 6𝑥2+13𝑥𝑦+6𝑦26x 2 +13xy+6y 2

Question

𝟐𝒙+𝟑𝒚 কে 𝟑𝒙+𝟐𝒚 দ্বারা গুণ করলে গুণফল কত?

6𝑥² + 13𝑥𝑦 − 6𝑦²
6𝑥² + 13𝑥𝑦 + 5𝑦²
6𝑥² + 13𝑥𝑦 + 6𝑦²
6𝑥² + 13𝑥𝑦 + 6𝑦²

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Solution

1. Break Down the Problem

We need to multiply the two expressions 2x+3y2x + 3y and 3x+2y3x + 2y and find the resulting polynomial.

2. Relevant Concepts

To multiply two binomials, we use the distributive property (also known as the FOIL method for binomials).

3. Analysis and Detail

We'll calculate the product step by step:

  1. Multiply the first terms: 2x3x=6x2 2x \cdot 3x = 6x^2

  2. Multiply the outer terms: 2x2y=4xy 2x \cdot 2y = 4xy

  3. Multiply the inner terms: 3y3x=9xy 3y \cdot 3x = 9xy

  4. Multiply the last terms: 3y2y=6y2 3y \cdot 2y = 6y^2

  5. Combine all the terms: 6x2+4xy+9xy+6y2=6x2+(4xy+9xy)+6y2=6x2+13xy+6y2 6x^2 + 4xy + 9xy + 6y^2 = 6x^2 + (4xy + 9xy) + 6y^2 = 6x^2 + 13xy + 6y^2

4. Verify and Summarize

The result of multiplying the two expressions is: 6x2+13xy+6y2 6x^2 + 13xy + 6y^2

Final Answer

The product of 2x+3y2x + 3y and 3x+2y3x + 2y is: 6x2+13xy+6y2 6x^2 + 13xy + 6y^2

This problem has been solved

Similar Questions

𝟐𝒙+𝟑𝒚 কে 𝟑𝒙+𝟐𝒚 দ্বারা গুণ করলে গুণফল কত?6𝑥2+13𝑥𝑦−6𝑦26x 2 +13xy−6y 2 6𝑥2+13𝑥𝑦+5𝑦26x 2 +13xy+5y 2 6𝑥2+13𝑥𝑦+6𝑦26x 2 +13xy+6y 2 6𝑥2+13𝑥𝑦+6𝑦26x 2 +13xy+6y 2

জলবায়ু পরিবর্তন অনুসন্ধান করে তা ঐতিহাসিক, সামাজিক, সাংস্কৃতিক ও রাজনৈতিক প্রেক্ষাপটে যে প্রভাব ফেলে তা নিয়ে যৌক্তিক সিদ্ধান্ত নেয়ার পরে একটি উপসংহার লিখো

ჩამოთვლილთაგან რომელი არის შიფრაციის ორი ძირითადი ტიპი?კითხვა 19პასუხიa.სიმეტრიული და ასიმეტრიულიb.ჰორიზონტალური და ვერტიკალურიc.არცერთიd.დიდი და პატარა

𝑆𝑢𝑝𝑝𝑜𝑠𝑒 𝑡ℎ𝑎𝑡 𝑡ℎ𝑒 𝑐ℎ𝑎𝑟𝑎𝑐𝑡𝑒𝑟𝑖𝑠𝑡𝑖𝑐 𝑝𝑜𝑙𝑦𝑛𝑜𝑚𝑖𝑎𝑙 𝑜𝑓 𝑠𝑜𝑚𝑒 𝑚𝑎𝑡𝑟𝑖𝑥 𝐴 𝑖𝑠 𝑓𝑜𝑢𝑛𝑑 𝑡𝑜 𝑏𝑒 𝑝(𝜆) = (𝜆 - 1)𝜆 -32  𝜆 -43  . 𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑖𝑧𝑒 𝑜𝑓 𝐴?

რომელი შიფრაციის მეთოდი არის უფრო სწრაფი და მარტივად გამოსაყენებელი?კითხვა 22პასუხიa.სიმეტრიულიb.ასიმეტრიულიc.ჰორიზონტალური და ვერტიკალურიd.დიდი და პატარა

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