What is factor (a+b)^2-49 ?

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

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factor (a+b)^2-49

factor

(a + b)^{2} - 49

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

Solution steps

(a + b)^{2} - 49

Factor the number:

49 = 7^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Apply rule:

(a) = a

(a + b) = a + b

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

- 6 (x - 1) \leq 66

k^{4} - 16

t^{2} + 6 t - 16

5 x^{3} - 20 x^{2} + 9 x - 36

- \frac{1}{3} - \frac{1}{2}