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Chapter 8: Q15. (page 469)

Find each product.

3x鈭�2y2

Short Answer

Expert verified

9x2鈭�12xy+4y2

Step by step solution

01

Step 1. Write a pattern of square of a difference.

The square ofx鈭�y is the square of x minus twice the product of x and y plus square of y, that is,

width="158" height="48" role="math">x鈭�y2=x鈭�yx鈭�y=x2鈭�2xy+y2

02

Step 2. Apply pattern of square of difference.

Apply the pattern of square of difference to the given expression.

3x2鈭�2鈰�3x鈰�2y+2y2

03

Step 3. Simplify.

Simplify the above obtained expression.

32x2鈭�2鈰�3鈰�2鈰�x鈰�y+22y2=9x2鈭�12xy+4y2

Therefore, the product of3x鈭�2y2 is 9x2鈭�12xy+4y2.

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GRIDDED RESPONSE Mr. Branson bought a total of 9 tickets to the zoo. He bought children tickets at the rate of \(6.50 and adult tickets for \)9.25 each. If he spent $69.50 altogether, how many adult tickets did Mr. Branson purchase?

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y2鈭�81.
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