Explanation Factor the given expression 300 x 2 − 2700 z 2 as follows. Note that, the terms, 300 x 2 and 2700 z 2 in the expression 300 x 2 − 2700 z 2 has 300 as common factor. That is, the GCF of the terms of the expression is 300 . Rewrite the terms 300 x 2 and 2700 z 2 as the product of the GCF and the remaining factor then factor out the GCF as below. 300 x 2 − 2700 z 2 = 300 ( x 2 ) − 300 ( 9 z 2 ) = 300 ( x 2 − 9 z 2 ) [ Factor out the GCF ] Consider the expression x 2 − 9 z 2 . Here, x 2 is square of x and 9 z 2 is square of 3 z . The given binomial is difference of two squares Therefore, the expression can be written as ( x ) 2 − ( 3 z ) 2 . Factor the expression as follows

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Chapter 6.1, Problem 41E

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To factor: The given expression 300x2−2700z2 completely.

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Chapter 6.1, Problem 40E

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EBK BASIC TECHNICAL MATHEMATICS

Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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To factor: The given expression 300 x 2 − 2700 z 2 completely.

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