What is factor 9a^2-4b^2+42a+49 ?

The solution to factor 9a^2-4b^2+42a+49 is (3a+7+2b)(3a+7-2b)

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factor 9a^2-4b^2+42a+49

factor

9 a^{2} - 4 b^{2} + 42 a + 49

(3 a + 7 + 2 b) (3 a + 7 - 2 b)

Solution steps

9 a^{2} - 4 b^{2} + 42 a + 49

Factor

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

= (3 a + 7)^{2} - 4 b^{2}

Simplify

4 b^{2} : (2 b)^{2}

= (3 a + 7)^{2} - (2 b)^{2}

Apply Difference of Two Squares Formula:

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

(3 a + 7)^{2} - (2 b)^{2} = ((3 a + 7) + 2 b) ((3 a + 7) - 2 b)

= ((3 a + 7) + 2 b) ((3 a + 7) - 2 b)

Apply rule:

(a) = a

(3 a + 7) = 3 a + 7

= (3 a + 7 + 2 b) (3 a + 7 - 2 b)

\frac{3 a ^{2} - 24 a}{3 a ^{2} + 12 a}

ln (e^{x}) = e^{l n (x)}

\frac{x ^{9}}{x ^{4}}

7 (3) - 9 (5) < 5

(2)^{3}

What is factor 9a^2-4b^2+42a+49 ?
The solution to factor 9a^2-4b^2+42a+49 is (3a+7+2b)(3a+7-2b)