Question

factorize: (ax + by)² + (bx - ay)²​

Answer 1

Given:-

• (ax + by)² + (bx - ay)²

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To find:-

• Factorise the following.

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Solution:-

• In this question we have to factorise the following. We have given an equation.

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Let's do it,

→ (ax + by)² + (bx - ay)²

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→ a²x² + b²y² + 2axby + b²x² + a²y² - 2bxay

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→ a²x² + b²y² + b²x² + a²y²

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→ x²(a² + b²) + y²(a² + b²)

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→ (x² + y²) (a² + b²)

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Factorised{\bigstar}}}}$