The expression given is (5m)² − (3n)². We need to factor this expression. Step 1: Recognize the form of the expression. The expression (5m)² − (3n)² is already in the form of a difference of squares, a² − b², where a = 5m and b = 3n. Step 2: Apply the difference of squares formula. The formula for the difference of squares is a² − b² = (a−b)(a+b). Substitute a = 5m and b = 3n into the formula. (5m)² − (3n)² = (5m − 3n)(5m + 3n) The completely factored form of the expression is: (5m − 3n)(5m + 3n)

We read your photo as:

(5m)2 - (3n)2

June 2, 2026Mathematics

ScanSolve AI Answer

Answer

(5m - 3n)(5m + 3n)

Step-by-step solution

2 steps

The expression given is $(5m)^2 - (3n)^2$ . We need to factor this expression.

Recognize the form of the expression.
The expression $(5m)^2 - (3n)^2$ is already in the form of a difference of squares, $a^2 - b^2$ , where $a = 5m$ and $b = 3n$ .
Apply the difference of squares formula.
The formula for the difference of squares is $a^2 - b^2 = (a-b)(a+b)$ .
Substitute $a = 5m$ and $b = 3n$ into the formula.
$(5m)^2 - (3n)^2 = (5m - 3n)(5m + 3n)$
The completely factored form of the expression is:
$(5m - 3n)(5m + 3n)$

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

More Mathematics Questions

QExpand the following: (m−2n)5, (3x+y)4, (2y−3x)3 QSimplify: (m²−n²)/(m−2mn+n²) ÷ (m²+mn)/(n²-mn)QSimplify: 64 28m4n6/7m3n2 (4×5)3 43 × 42 (5⁻²)3 QSimplify the following expression: (m-n)(m+n) / (m-m-m+n²) × n(n-m) / m(m+n)QThe sum 12 + 22 + 32 + ... + n2 is equal to

See all Mathematics questions →

Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.

Handwritten Step-by-Step Solution

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

Try on WhatsApp