factorise by grouping method:
(ax + by)² + (bx - ay)²
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Answer:
(ax+by)²+(bx-ay)²
a²x²+b²y²+2axby+b²x²+a²y²-2bxay
a²x²+b²y²+b²x²+a²y²
a²x²+b²x²+b²y²+a²y²
x²(a²+b²)+y²(b²+a²)
(x²+y²)(a²+b²)
Step-by- explanation:
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(ax+by)²+(bx-ay)²
a²x²+b²y²+2axby+b²x²+a²y²-2bxay
a²x²+b²y²+b²x²+a²y²
a²x²+b²x²+b²y²+a²y²
x²(a²+b²)+y²(b²+a²)
(x²+y²)(a²+b²)
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