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QuestionMathematics
write all the possible factors of the following (i) 8x² (ii) 17xy² (iii) 33yz (iv) - 6ab class 8
write all the possible factors of the following (i) 8x² (ii) 17xy² (iii) 33yz (iv) - 6ab class 8
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Step 1:: Factor out the greatest common factor (GCF) for each expression.
(i) 8x²
Step 2:: The GCF of 8x² is 4x.
8x^2 = 4x \times 2x
Factor out 4x from the expression.
Step 3:: Therefore, the factors of 8x² are 4x and 2x.
(ii) 17xy²
Step 4:: The GCF of 17xy² is 17xy.
17xy^2 = 17xy \times xy
Factor out 17xy from the expression.
Step 5:: Therefore, the factors of 17xy² are 17xy and xy.
(iii) 33yz
Step 6:: The GCF of 33yz is 11y.
33yz = 11y \times 3z
Factor out 11y from the expression.
Step 7:: Therefore, the factors of 33yz are 11y and 3z.
(iv) - 6ab
Step 8:: The GCF of - 6ab is 6b (ignoring the negative sign).
-6ab = 6b \times (-a)
Factor out 6b from the expression.
Step 9:: Therefore, the factors of - 6ab are 6b and -a.
Final Answer
(i) The factors of 8x² are 4x and 2x. (ii) The factors of 17xy² are 17xy and xy. (iii) The factors of 33yz are 11y and 3z. (iv) The factors of - 6ab are 6b and -a.
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