What is factor 49x^2-42x+9-y^2 ?

The solution to factor 49x^2-42x+9-y^2 is (7x-3+y)(7x-3-y)

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factor 49x^2-42x+9-y^2

factor

49 x^{2} - 42 x + 9 - y^{2}

(7 x - 3 + y) (7 x - 3 - y)

Solution steps

49 x^{2} - 42 x + 9 - y^{2}

Factor

49 x^{2} - 42 x + 9 : (7 x - 3)^{2}

= (7 x - 3)^{2} - y^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(7 x - 3)^{2} - y^{2} = ((7 x - 3) + y) ((7 x - 3) - y)

= ((7 x - 3) + y) ((7 x - 3) - y)

Apply rule:

(a) = a

(7 x - 3) = 7 x - 3

= (7 x - 3 + y) (7 x - 3 - y)

∣ - 7 + 3 ∣

(9)^{\frac{- 5}{2}}

\frac{x + 1}{2} = \frac{x + 3}{3}

\frac{y ^{- 2}}{x ^{- 2} - y ^{- 2}}

\frac{x - 3}{4} = \frac{5}{14} - \frac{x + 5}{7}

What is factor 49x^2-42x+9-y^2 ?
The solution to factor 49x^2-42x+9-y^2 is (7x-3+y)(7x-3-y)