What is factor a^2-6ab+9b^2-25 ?

The solution to factor a^2-6ab+9b^2-25 is (a-3b+5)(a-3b-5)

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factor a^2-6ab+9b^2-25

factor

a^{2} - 6 ab + 9 b^{2} - 25

(a - 3 b + 5) (a - 3 b - 5)

Solution steps

a^{2} - 6 ab + 9 b^{2} - 25

Factor

a^{2} - 6 ab + 9 b^{2} : (a - 3 b)^{2}

= (a - 3 b)^{2} - 25

Factor the number:

25 = 5^{2}

= (a - 3 b)^{2} - 5^{2}

Apply Difference of Two Squares Formula:

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

(a - 3 b)^{2} - 5^{2} = ((a - 3 b) + 5) ((a - 3 b) - 5)

= ((a - 3 b) + 5) ((a - 3 b) - 5)

Remove parentheses:

(a) = a

= (a - 3 b + 5) (a - 3 b - 5)

\frac{11}{12} - \frac{1}{4}

32 + 350

3 (- \frac{3}{4})

\frac{4}{5} \cdot \frac{10}{7}

What is factor a^2-6ab+9b^2-25 ?
The solution to factor a^2-6ab+9b^2-25 is (a-3b+5)(a-3b-5)