What is factor a^2+14ab+49b^2-4 ?

The solution to factor a^2+14ab+49b^2-4 is (a+7b+2)(a+7b-2)

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factor a^2+14ab+49b^2-4

factor

a^{2} + 14 ab + 49 b^{2} - 4

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

Solution steps

a^{2} + 14 ab + 49 b^{2} - 4

Factor

a^{2} + 14 ab + 49 b^{2} : (a + 7 b)^{2}

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

Factor the number:

4 = 2^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Remove parentheses:

(a) = a

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

3 (4 - 2 x) < - 5 (x - 2) + 3

7 x + 4 \geq 9 x - 1

(- y^{4} d^{6})^{8}

3 d^{2} - 9 d + 6 = 0

8 y - 3 = 6 y + 17

What is factor a^2+14ab+49b^2-4 ?
The solution to factor a^2+14ab+49b^2-4 is (a+7b+2)(a+7b-2)