Question

(2x+3y-4z)^3+(2x-3y+4z)^3+12x{4x^2-(3y-4z)^2}

Answer 1

Answer:

(2x+3y-4z)^3+(2x-3y+4z)^3+12x{4x^2-(3y-4z)^2}

Answer 2

Answer:(m+n)6-(m-n)6-12mn(m2-n2)2

={(m+n)2}3-{(m-n)2}3-3.4mn(m2-n2)2

={(m+n)2}3-{(m-n)2}3-3.4mn{(m+n)(m-n)2

={(m+n)2}3-{(m-n)2}3-3.4mn{(m+n)2(m-n)2…………….(1)

মনে করি, (m+n)2=p; (m-n)2=q

এবং, p-q=(m+n)2-(m-n)2=(m+n-m+n)(m+n+m-n)=2n.2m=4mn

(1) এ মান বসিয়ে,

p3-q3-3.(p-q)p.q

= p3-q3-3p2q+3pq2

=(p-q)3

={(m+n)2-(m-n)2}3

=(4mn)3 [a+b)2-(a-b)2=4ab]

=64m3n3

Step-by-step explanation: