find value of k such that

4x⁶-24x⁵+20x⁴+68x³-44x²-40x+k

plzz xplain!!!

Dear ajinkya,

Expand the equation: [ax³ + bx² + cx + d]²---------------------eq. 1

THE FINAL EXPANSION OF THIS equation is :

a²x⁶+2abx⁵+(b²+2ac)x⁴+2(ad+bc)x³+(c²+2bd)x²+2cdx+d^2.

Now compare this equation with the corresponding coefficients given equation you will get the following values:

a² = 4; 2ab = -24; (b²-2ac)= 20; 2(ad+bc)= 68.

therefore you will get the following values:

a=2; b=-6; c= -4; d= 5.

clearly from both the equation its clear that value of k is d²; which is equal to 6.

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