Question

(a²-2ab)(a²-5ab+3b²)​

Answer 1

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Answer 2

To simplify the expression (a²-2ab)(a²-5ab+3b²), we can use the distributive property of multiplication over addition. Let's expand it step by step:

(a²-2ab)(a²-5ab+3b²) = a²(a²-5ab+3b²) - 2ab(a²-5ab+3b²)

Now, let's expand each term separately:

a²(a²-5ab+3b²) = a⁴ - 5a³b + 3a²b²

• 2ab(a²-5ab+3b²) = -2a³b + 10a²b² - 6ab³

Combining the terms, we have:

(a²-2ab)(a²-5ab+3b²) = a⁴ - 5a³b + 3a²b² - 2a³b + 10a²b² - 6ab³

Simplifying further, we can combine like terms:

(a²-2ab)(a²-5ab+3b²) = a⁴ - 2a³b - 5a³b + 3a²b² + 10a²b² - 6ab³ = a⁴ - 7a³b + 13a²b² - 6ab³

So, the simplified form of (a²-2ab)(a²-5ab+3b²) is a⁴ - 7a³b + 13a²b² - 6ab³.