Math, asked by rishikesh123, 1 year ago

if a^2 + 3ab + b^2 =75 then a(a+b) ( a +2b )( a + 3b ) + b^4 = ?

Answers

Answered by abhi178
1
a^2+3ab+b^2=75
a (a+3b)=75-b^2 ---------(1)
again
a^2+3ab+b^2=75
a^2+3ab+2b^2=75+b^2 -------(2)
now go to question
a (a+b)(a+2b)(a+3b)+b^4=?
=> {a(a+3b)}{(a+b)(a+2b)}+b^4
=>{a (a+3b)}{a^2+3ab+2b^2}+b^4
put (1) and (2)
=>(75-b^2)(75+b^2)+b^4
=>(75)^2-b^4+b^4
=>(75)^2
hence answer is (75)^2

rishikesh123: thank u so much
abhi178: please mark brainliest
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