find the product $$ (7 x-3 y)^{2} $$

Question

UpStudy AI · Accepted Answer

To find the product $$(7x - 3y)^2$$, we'll expand the expression using the formula for squaring a binomial:

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

Here, $$a = 7x$$ and $$b = 3y$$. Let's apply the formula step by step:

1. **Square the first term ($$a^2$$):**
   $$
   (7x)^2 = 49x^2
   $$

2. **Square the second term ($$b^2$$):**
   $$
   (3y)^2 = 9y^2
   $$

3. **Multiply the two terms and double the product (-2ab):**
   $$
   -2 \times (7x) \times (3y) = -42xy
   $$

4. **Combine all the parts:**
   $$
   (7x - 3y)^2 = 49x^2 - 42xy + 9y^2
   $$

**Final Expanded Form:**
$$
(7x - 3y)^2 = 49x^2 - 42xy + 9y^2
$$
$$ (7x - 3y)^2 = 49x^2 - 42xy + 9y^2 $$

find the product \( (7 x-3 y)^{2} \)