Factor a^2-2ab-48b^2

Math
a2-2ab-48b2
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=1⋅-48=-48 and whose sum is b=-2.
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Reorder terms.
a2-48b2-2ab
Reorder -48b2 and -2ab.
a2-2ab-48b2
Factor -2 out of -2ab.
a2-2(ab)-48b2
Rewrite -2 as 6 plus -8
a2+(6-8)(ab)-48b2
Apply the distributive property.
a2+6(ab)-8(ab)-48b2
Remove unnecessary parentheses.
a2+6ab-8(ab)-48b2
Remove unnecessary parentheses.
a2+6ab-8ab-48b2
a2+6ab-8ab-48b2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(a2+6ab)-8ab-48b2
Factor out the greatest common factor (GCF) from each group.
a(a+6b)-8b(a+6b)
a(a+6b)-8b(a+6b)
Factor the polynomial by factoring out the greatest common factor, a+6b.
(a+6b)(a-8b)
Factor a^2-2ab-48b^2

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