what is the factored form of ( a^{2}-121 )?\n( (a - 121)(a - 1) )\n( (a - 11)(a + 11) )\n( (a + 11)(a + 11)…
what is the factored form of ( a^{2}-121 )?\n( (a - 121)(a - 1) )\n( (a - 11)(a + 11) )\n( (a + 11)(a + 11) )\n( (a - 121)(a + 1) )
Answer
Explanation:
Step1: Recall the difference of squares formula
The difference of squares formula is (x^{2}-y^{2}=(x - y)(x + y)).
Step2: Identify (x) and (y) in the given expression
In the expression (a^{2}-121), we have (x = a) and (y=\sqrt{121}=11) since (121 = 11^{2}).
Step3: Apply the difference of squares formula
Substitute (x=a) and (y = 11) into the formula (x^{2}-y^{2}=(x - y)(x + y)), we get (a^{2}-121=(a - 11)(a + 11)).
Answer:
((a - 11)(a + 11)) (corresponding to the second option)