Calculate (7+8)² : Square of Sum Expression

Question

$(7+8)^2=\text{?}$

00:00 Solve using shortened multiplication formulas

00:03 We will use shortened multiplication formulas to open the parentheses

00:13 In our exercise 7 is A

00:18 and 8 is B

00:23 Let's substitute according to the formula

00:30 And this is the solution to the question

To solve this problem, we'll use the formula for the square of a sum.

Step 1: Identify our variables as $a = 7$ and $b = 8$ .
Step 2: Apply the formula $(a + b)^2 = a^2 + 2ab + b^2$ .
Step 3: Substitute into the formula:
$(7 + 8)^2 = 7^2 + 2 \times 7 \times 8 + 8^2$ .
Step 4: Express the final expression in the most informative form.

Therefore, the expanded expression for $(7 + 8)^2$ is $7^2 + 2 \times 7 \times 8 + 8^2$ .

Regarding the choices provided, the correct one is Option 3: $7^2 + 2 \times 7 \times 8 + 8^2$ .

$7^2+2\times7\times8+8^2$