How to solve differences of squares 73.8² - 26.2²

Mathematics

ScanSolve AI Answer

Answer

4760

Step-by-step solution

4 steps

The difference of squares formula is a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b).

  1. Identify 'a' and 'b' in the expression 73.82−26.2273.8^2 - 26.2^2.

    Here, a=73.8a = 73.8 and b=26.2b = 26.2.

  2. Apply the difference of squares formula.

    73.82−26.22=(73.8−26.2)(73.8+26.2)73.8^2 - 26.2^2 = (73.8 - 26.2)(73.8 + 26.2)

  3. Calculate the values inside the parentheses.

    73.8−26.2=47.673.8 - 26.2 = 47.6
    73.8+26.2=10073.8 + 26.2 = 100

  4. Multiply the results from Step 3.

    47.6×100=476047.6 \times 100 = 4760

    73.82−26.22=476073.8^2 - 26.2^2 = 4760

    The answer is 4760.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp