If (2x2+3x-5)(x+2)=ax3+bx2+cx+d,then ac-bd=?[যদি (2x2+3x-5)(x+2)=ax3+bx2+cx+d হয় তবে ac-bd=?
Solution
Correct Answer: Option C
এখানে,
(2x2+3x-5)(x+2)=ax3+bx2+cx+d
or,2x3+4x2+3x2+6x-5x-10=ax3+bx2+cx+d
or,2x3+7x2+x-10=ax3+bx2+cx+d......(1)
উভয় দিকে তুলনা করে পাই
a=2.b=7,c=1,d=-10
অতএব, ac-bd=2×1 -7 (-10)
=2+70
=72
(2x2+3x-5)(x+2)=ax3+bx2+cx+d
or,2x3+4x2+3x2+6x-5x-10=ax3+bx2+cx+d
or,2x3+7x2+x-10=ax3+bx2+cx+d......(1)
উভয় দিকে তুলনা করে পাই
a=2.b=7,c=1,d=-10
অতএব, ac-bd=2×1 -7 (-10)
=2+70
=72
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