ناتج ( 3 س3 - 2 ب )( 3 س3 + 2 ب ) هو ؟
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ناتج ( 3 س3 - 2 ب )( 3 س3 + 2 ب ) هو ؟
الإجابة الصحيحة هي: 9س6 - 4ب2 .
ناتج ( 3 س3 - 2 ب )( 3 س3 + 2 ب ) هو؟ الشرح والتوضيح
To find the product of (3س3 - 2ب)(3س3 + 2ب), we can use the distributive property of multiplication. This property states that for any three numbers a, b, and c, (a + b) * c = a * c + b * c.
Applying this property to the given expression, we can expand the expression as follows:
(3س3 - 2ب)(3س3 + 2ب) = 3س3 * 3س3 + 3س3 * 2ب - 2ب * 3س3 - 2ب * 2ب
Now let's simplify each term:
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3س3 * 3س3: When multiplying two terms with the same base, we add the exponents. Hence, 3س3 * 3س3 = (3 * 3) * (س3 * س3) = 9س6.
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3س3 * 2ب: When multiplying two terms with different bases, we combine the coefficients and add the exponents separately. Hence, 3س3 * 2ب = (3 * 2) * (س3 * ب) = 6س3ب.
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-2ب * 3س3: The order of multiplication does not affect the result. Hence, -2ب * 3س3 = 3س3 * -2ب = -6س3ب.
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-2ب * 2ب: When multiplying two terms with the same base, we multiply the coefficients and add the exponents. Hence, -2ب * 2ب = (-2 * 2) * (ب * ب) = -4ب2.
Now let's combine the simplified terms:
9س6 + 6س3ب - 6س3ب - 4ب2
The terms 6س3ب and -6س3ب cancel each other out because they have the same magnitude but opposite signs. Therefore, the resulting expression simplifies to:
9س6 - 4ب2
Hence, the product of (3س3 - 2ب) and (3س3 + 2ب) is 9س6 - 4ب2.
