Question

2.
(ax + by)2 + (bx - ay)2​

Answer 1

Step-by-step explanation:

Given : (ax+by)

2

+(bx−ay)

2

By using the formula (a+b)

2

and(a−b)

2

'we get,

=a

2

x

2

+b

2

y

2

+2abxy+b

2

x

2

+a

2

y

2

−2abxy

=a

2

x

2

+b

2

y

2

+b

2

x

2

+a

2

y

2

Rearranging the terms

=a

2

x

2

+b

2

x

2

+b

2

y

2

+a

2

y

2

By taking the common terms out

=x

2

(a

2

+b

2

)+y

2

(a

2

+b

2

)

So we get,

(ax+by)

2

+(bx−ay)

2

= (a

2

+b

2

)(x

2

+y

2

)

Answer 2

Answer:

Step-by-step explanation:

Answer will be a² + b² - y² +x².

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