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Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?
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Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?
Understanding the Problem
To factorise the expression X² + XY - 8X - 8Y, we start by rearranging it into a more manageable form.
Step 1: Grouping Terms
- We can group the terms in pairs:
- (X² + XY) + (-8X - 8Y)
Step 2: Factor out Common Factors
- From the first group (X² + XY), we can factor out X:
- X(X + Y)
- From the second group (-8X - 8Y), we factor out -8:
- -8(X + Y)
Step 3: Combine the Groups
- Now, we can combine the two factored groups:
- X(X + Y) - 8(X + Y)
Step 4: Factor Out the Common Binomial
- Notice that (X + Y) is a common factor:
- (X + Y)(X - 8)
Final Answer
- The expression X² + XY - 8X - 8Y is now fully factorised as:
- (X + Y)(X - 8)
Conclusion
- We have successfully factorised the expression by grouping and identifying common factors. This method is useful for simplifying complex algebraic expressions effectively.
Make sure to practice similar problems to strengthen your understanding of factorisation!
To factorise the expression X² + XY - 8X - 8Y, we start by rearranging it into a more manageable form.
Step 1: Grouping Terms
- We can group the terms in pairs:
- (X² + XY) + (-8X - 8Y)
Step 2: Factor out Common Factors
- From the first group (X² + XY), we can factor out X:
- X(X + Y)
- From the second group (-8X - 8Y), we factor out -8:
- -8(X + Y)
Step 3: Combine the Groups
- Now, we can combine the two factored groups:
- X(X + Y) - 8(X + Y)
Step 4: Factor Out the Common Binomial
- Notice that (X + Y) is a common factor:
- (X + Y)(X - 8)
Final Answer
- The expression X² + XY - 8X - 8Y is now fully factorised as:
- (X + Y)(X - 8)
Conclusion
- We have successfully factorised the expression by grouping and identifying common factors. This method is useful for simplifying complex algebraic expressions effectively.
Make sure to practice similar problems to strengthen your understanding of factorisation!
Community Answer
Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?
X square xy- x,x,x,y,
8x 8y-8,x,8,y
8x 8y-8,x,8,y
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Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?
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Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?.
Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chapter 14 Factorisation Ex 14.1 Q.3 Factorise X square xy. 8x 8y?.
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