Answer: (a^{2}+b^{2}) (x^{2} + y^{2})= (ax+by)^{2}(a 2 +b 2 )(x 2 +y 2 )=(ax+by) 2 a^{2}x^{2} +a^{2}y^{2}+b^{2}x^{2} +b^{2}y ^{2} = a^{2}x^{2} +b^{2}y^{2} + 2axbya 2 x 2 +a 2 y 2 +b 2 x 2 +b 2 y 2 =a 2 x 2 +b 2 y 2 +2axby a^{2}y^{2} +b^{2}x^{2}=2axbya 2 y 2 +b 2 x 2 =2axby a^{2}y^{2} +b^{2}x^{2} -2axby = 0a 2 y 2 +b 2 x 2 −2axby=0 (ay-bx)^{2} = 0(ay−bx) 2 =0 ay – bx = 0ay−bx=0 ay = bxay=bx a/x = b/ya/x=b/y Step-by-step explanation: this is your answer please mark me as brainlist Reply
Answer:
(a^{2}+b^{2}) (x^{2} + y^{2})= (ax+by)^{2}(a
2
+b
2
)(x
2
+y
2
)=(ax+by)
2
a^{2}x^{2} +a^{2}y^{2}+b^{2}x^{2} +b^{2}y ^{2} = a^{2}x^{2} +b^{2}y^{2} + 2axbya
2
x
2
+a
2
y
2
+b
2
x
2
+b
2
y
2
=a
2
x
2
+b
2
y
2
+2axby
a^{2}y^{2} +b^{2}x^{2}=2axbya
2
y
2
+b
2
x
2
=2axby
a^{2}y^{2} +b^{2}x^{2} -2axby = 0a
2
y
2
+b
2
x
2
−2axby=0
(ay-bx)^{2} = 0(ay−bx)
2
=0
ay – bx = 0ay−bx=0
ay = bxay=bx
a/x = b/ya/x=b/y
Step-by-step explanation:
this is your answer
please mark me as brainlist