what is the factored form of a² - 121?\n(a - 121)(a - 1)\n(a - 11)(a + 11)\n(a + 11)(a + 11)\n(a - 121)(a + 1)
what is the factored form of a² - 121?\n(a - 121)(a - 1)\n(a - 11)(a + 11)\n(a + 11)(a + 11)\n(a - 121)(a + 1)
Answer
Answer:
B. $(a - 11)(a + 11)$
Explanation:
Step1: Recognize difference - of - squares
The expression $a^{2}-121$ is in the form $x^{2}-y^{2}$, where $x = a$ and $y = 11$ since $121=11^{2}$.
Step2: Apply difference - of - squares formula
The formula for factoring $x^{2}-y^{2}$ is $(x - y)(x + y)$. Substituting $x = a$ and $y = 11$ gives $(a - 11)(a + 11)$.