Math Problem Statement

Hitunglah nilai dari 137^2 - 113^2 = ....

Solution

The problem in the image asks to calculate the value of 13721132137^2 - 113^2.

This expression can be solved using the difference of squares formula:

a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b)

Here, a=137a = 137 and b=113b = 113, so:

13721132=(137113)(137+113)137^2 - 113^2 = (137 - 113)(137 + 113)

Now, calculate:

137113=24137 - 113 = 24 137+113=250137 + 113 = 250

Thus:

13721132=24×250=6000137^2 - 113^2 = 24 \times 250 = 6000

The correct answer is D: 60006000.

Do you want more details or have any other questions?

Here are 5 related questions for practice:

  1. What is 14521252145^2 - 125^2 using the difference of squares formula?
  2. How can you simplify (a+b)2(ab)2(a + b)^2 - (a - b)^2?
  3. Calculate 2002502200^2 - 50^2 using the difference of squares method.
  4. What is the general formula for the difference of cubes?
  5. Solve 15021202150^2 - 120^2 using direct multiplication.

Tip: The difference of squares formula is a quick and efficient method to solve problems involving the subtraction of two squares without calculating each square separately.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Difference of Squares
Arithmetic

Formulas

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

Theorems

Difference of Squares Theorem

Suitable Grade Level

Grades 8-10