Resolve into factors2a^2 x-2a^2 y – 3b^2 x +3b^2 y

1.	Resolve into factors2a^2 x-2a^2 y – 3b^2 x +3b^2 y
Answer» ANSWER: $2a^{2}x-2a^{2}y-3b^{2}x+3b^{2}y\\ =2a^{2}(x-y)-3b^{2}(x-y)\\ =(x-y)(2a^{2}-3b^{2})\\ =(x-y)[(\sqrt{2}a)^{2}-(\sqrt{3}b)^{2})\\ =(x-y)(\sqrt{2}a+\sqrt{3}b)(\sqrt{2}a-\sqrt{3}b)$

Answer»

$2a^{2}x-2a^{2}y-3b^{2}x+3b^{2}y\\ =2a^{2}(x-y)-3b^{2}(x-y)\\ =(x-y)(2a^{2}-3b^{2})\\ =(x-y)[(\sqrt{2}a)^{2}-(\sqrt{3}b)^{2})\\ =(x-y)(\sqrt{2}a+\sqrt{3}b)(\sqrt{2}a-\sqrt{3}b)$

Discussion

No Comment Found

Related InterviewSolutions

What is Rational Numbers ??Where are you Bunny ?? What happen Any Problem Bro ಠ︵ಠ
Observe the following table and find x is directly proportional
What is Rational Numbers ?Answer if ur boy ? Answer if ur Ashrith Im serious
ABCD is a parallelogram if the ratio sides 3,:2and perimeter is 120 m the find the length of the sides of the parallelogram
6. Find the area of the following polygohABCDEF where AP = 2 cm, AQ = 4 cm,AR = 6 cm, AD = 10 cm, AS = 8 cm, andBP, FQ, CR and ES are perpendiculars todiagonal AD
5y+10=4y-10 then what is the answer
*5. How do the prashastis written by Harisena and Ravikirti throw light on the history of theGuptas and Harshavardhana?
The product of two number is 27 /2 .If one number is 23/5,find the other. with solution
Evalute the expression given below for ( m = - 2 ) & ( n = 6 ) 3m³ + 2m²n + n³
Evalute the expression given below for ( m = - 2 ) & ( n = 6 )m² - n²

Resolve into factors2a^2 x-2a^2 y – 3b^2 x +3b^2 y

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment