Factorize expressions  (ax + by)2 + (bx – ay)2

Asked by Sakshi | 1 year ago |  100

#### 1 Answer

##### Solution :-

We have,

(ax + by)2 + (bx – ay)2

a2x2 + b2y2 + 2axby + b2x2 + a2y2 – 2axby

a2x2 + b2y2 + b2x2 + a2y2

By grouping similar terms we get,

a2x2 + a2y2 + b2y2 + b2x2

a2 (x2 + y2) + b2 (x2 + y2)

(a2 + b2) (x2 + y2)

Answered by Aaryan | 1 year ago

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