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3 votes
(5a-4b)^2How to solve this problem ​

User SaSkY
by
8.7k points

2 Answers

1 vote

Answer:

(5a-4b)^2 = (a-b)²= a²-2ab+b²

(5a)² - 2*5a*4b + (4b)²=

25a² - 40ab + 16b²

Explanation:

User Trumpetlicks
by
7.4k points
2 votes

Hello!

Answer:


\Large \boxed{\sf 25a^2-40ab + 16b^2}

Explanation:

→ We want to simplify this expression:


\sf (5a-4b)^2

→ This expression is a remarkable identity:

We know that
\sf (a-b)^2 is equal to
\sf a^2-2ab + b^2.

In our expression:


\sf a = 5a\\b = 4b

→ Let's apply this formula:


\sf (5a)^2-2(5a)(4b) + (4b)^2

Simplify the expression:


\boxed{\sf 25a^2-40ab + 16b^2}

Conclusion:

The expression (5a-4b)² is equal to 25a² - 40ab + 16b².

User Olivie
by
8.2k points
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