Question 132999
{{{36b^2-121}}} Start with the given expression


{{{(6b)^2-121}}} Rewrite {{{36b^2}}} as {{{(6b)^2}}}


{{{(6b)^2-(11)^2}}} Rewrite {{{121}}} as {{{(11)^2}}}



Now use the difference of squares. Remember, the difference of squares formula is {{{A^2-B^2=(A+B)(A-B)}}} where in this case {{{A=6b}}} and {{{B=11}}}


{{{36b^2-121=(6b+11)(6b-11)}}} Plug in {{{A=6b}}} and {{{B=11}}}




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Answer:



So the expression


{{{36b^2-121}}}


factors to


{{{(6b+11)(6b-11)}}}


Notice that if you foil the factored expression, you get the original expression. This verifies our answer.