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Asked by K Last Modified
Answer As an experienced tutor registered on UrbanPro.com, I understand the importance of providing clear and concise explanations to help students grasp challenging concepts. In this response, I will break down the expression "z – 19 + 19xy – xyz" step by step, ensuring a thorough understanding for Class 7 students seeking online coaching.
Step 1: Identify Common Factors
Factorizing the expression involves identifying common factors among the terms.
Observe that "z" is a common factor in the terms "z" and "-xyz."
Factorized expression: z(1 - y) - 19 + 19xy
Step 2: Simplify Further
Now, let's simplify the remaining terms.
Combine Like Terms:
Combine the constant terms "-19" and the simplified expression "z(1 - y) - 19 + 19xy."
Simplified expression: z(1 - y) + 19xy - 38
Factorize the Constant Terms:
Observe that "19" and "38" have a common factor of 19.
Simplified and factorized expression: z(1 - y) + 19(x - 2y)
Conclusion:
In conclusion, the expression "z – 19 + 19xy – xyz" can be factorized as follows:
z(1−y)+19(x−2y)z(1−y)+19(x−2y)
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