Problem 22 Factor. $$(4 x-3)^{2}-y^{2}$$... [FREE SOLUTION]

Chapter 10: Problem 22

Factor. $$(4 x-3)^{2}-y^{2}$$

Short Answer

Expert verified

The factored form of the expression is $(4x - 3 + y) * (4x - 3 - y)$.

Step by step solution

Identify the Difference of Squares

Given the expression $(4x - 3)^2 - y^2$, we notice the format fits the difference of two squares (a^2 - b^2). Here, 'a' is $(4x - 3)$ as whole and 'b' is $y$.

Apply the Difference of Squares Formula

The difference of squares formula can be factored into $(a + b) * (a - b)$. When the 'a' in our original expression is $(4x -3)$ and 'b' is $y$, the replacement results in $((4x -3) + y) * ((4x - 3) - y)$.

Simplify if Necessary

In this example, no further simplification is necessary, so our factored expression remains as $(4x - 3 + y) * (4x - 3 - y)$.

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91影视

Factor. $$(4 x-3)^{2}-y^{2}$$

Short Answer

Step by step solution

Identify the Difference of Squares

Apply the Difference of Squares Formula

Simplify if Necessary

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