Multiply. Express your answer as a polynomial in standard form. (1 point)

Question

(6x−7)(6x+7)=
(
6
𝑥
−
7
)
(
6
𝑥
+
7
)
=

Check Answer

Answer 1

To multiply the two binomials $(6x-7)(6x+7)$, we can use the distributive property (also known as the FOIL method for binomials):

$$(6x-7)(6x+7)=6x\cdot 6x+6x\cdot 7-7\cdot 6x-7\cdot 7$$

Calculating each part:

1. $6x\cdot 6x=36x^2$
2. $6x\cdot 7=42x$
3. $-7\cdot 6x=-42x$
4. $-7\cdot 7=-49$

Now, combining all these terms together:

$$36x^2+42x-42x-49$$

The $42x$ and $-42x$ cancel each other out:

$$36x^2-49$$

So, the final answer in standard form is:

$$\boxed{{\displaystyle 36x^2-49}}$$