The expression $(7x + 1)$ squared can be expanded using the formula for a binomial square:

$(a + b)^2 = a^2 + 2ab + b^2$

Here, $a = 7x$ and $b = 1$, so:

$(7x + 1)^2 = (7x)^2 + 2(7x)(1) + (1)^2$

Now, simplifying each term:

$(7x)^2 = 49x^2$ $2(7x)(1) = 14x$ $(1)^2 = 1$

Thus, the expanded form of $(7x + 1)^2$ is:

$49x^2 + 14x + 1$

Would you like more details on the binomial expansion or any other clarification?

Related Questions:

1. How would you expand $(3x - 5)^2$?
2. What is the formula for the expansion of $(a + b)^3$?
3. Can you expand and simplify $(4x + 2)(4x - 2)$?
4. How do you factor the expression $49x^2 + 14x + 1$?
5. How can you apply the quadratic formula to solve $49x^2 + 14x + 1 = 0$?

Tip:

When squaring binomials, remember to account for the middle term, which comes from $2ab$.