x3 + xy ও x2 - xy এর বর্গ নির্ণয় করে দিন
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2 Answers

x^3+xy

=(x^3+xy)^2

=(x^3)^2+2.x^3.xy+(xy)^2

=x^6+2x^4y+x^2y^2

=x^2(x^3+2x^2y+y^2)

আবার,

x^2-xy

=(x^2-xy)^2

=(x^2)^2-2.x^2.xy+(xy)^2

=x^4-2x^3y+x^2y^2

=x(x^3-2x^2y+xy^2)

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(1) (x3+xy)2

= {x(x2+y)}2

= x2(x2+y)2

= x2{(x2)2+2x2y+y2}

= x2(x4+2x2y+y2)

(2) (x2-xy)2

= {x(x-y)}2

= x2(x-y)2

= x2(x2-2xy+y2}

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