Question

Given the expression 8×12=96, express it using the formula (a+b)×(a−b)=a2−b2.

A) 20×4=80
B) 15×3=45
C) 10×2=20
D) 13×5=65

Answer 1

To express the multiplication of two numbers as described by the formula (a+b)×(a−b)=a^2−b^2, Option A: 20×4=80 is the correct choice, since it fits the formula with a=12 and b=8 resulting in an equal product.

Step-by-step explanation:

The question is asking to express the multiplication of two numbers as a product of two binomials using the formula (a+b)×(a−b)=a^2−b^2. In this case, looking at the expression 8×12=96, we can rewrite it in terms of the formula given.

Let's consider each option:

• Option A: 20×4=80
• Option B: 15×3=45
• Option C: 10×2=20
• Option D: 13×5=65

By analyzing these options, the correct choice would be Option A since it can be re-expressed as (12+8)×(12-8)=12^2-8^2=144-64=80, which is equivalent to the multiplication of the sum and difference of the same two numbers, as described by the given formula.