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Question:বিয়োগফল নির্ণয় কর: ক. ax-3-a2x2-9 খ. 1y(x-y)-1x(x+y) গ. x+11+x+x2-x-11-x+x2 ঘ. a2+16b2a2-16b2-a-4ba+4b ঙ. 1x-y-x2-xy+y2x3+y3 

Answer ক. ax-3-a2x2-9 =ax-3-a2x2-32 =ax-3-a2(x+3)(x-3) =a(x+3)-a2(x-3)(x+3) =ax+3a-a2(x-3)(x+3) =ax+3a-a2x2-9 উত্তর: =ax+3a-a2x2-9 খ. 1y(x-y)-1x(x+y) =x(x+y)-y(x-y)xy(x-y)(x+y) =x2+xy-xy+y2xy(x-y)(x+y) =x2+y2xy(x-y)(x+y) =x2+y2xy(x2-y2) উত্তর: =x2+y2xy(x2-y2) গ. x+11+x+x2-x-11-x+x2 =(x+1)(1-x+x2)-(x-1)(1+x+x2)(1+x+x2)(1-x+x2) =(x-x2+x3+1-x+x2)-(x+x2+x3-1-x-x2)(1+x2+x)(1+x2-x) =(x3+1)-(x3-1)(1+x2)2-x2 =(x3+1)-(x3-1)1+2x2+x4-x2 =x3+1-x3+1x4+x2+1 =2x4+x2+1 উত্তর :2x4+x2+1 ঘ. a2+16b2a2-16b2-a-4ba+4b =a2+16b2a2-16b2-a-4ba+4b =a2+16b2(a+4b)(a-4b)-a-4ba+4b =a2+16b2-(a-4b)2(a+4b)(a-4b) =a2+16b2-(a2-2.a.4b+16b2)(a+4b)(a-4b) =a2+16b2-(a2-8ab+16b2)(a+4b)(a-4b) =a2+16b2-a2+8ab-16b2a2-(4b)2 =8aba2-16b2 উত্তর: 8aba2-16b2 ঙ. 1x-y-x2-xy+y2x3+y3 =(x3+y3)-(x-y)(x2-xy+y2)(x-y)(x3+y3) =x3+y3-(x3-x2y+xy2-x2y+xy2-y3)(x-y)(x3+y3) =x3+y3-x3+x2y-xy2+x2y-xy2+y3(x-y)(x3+y3) =2x2y-2xy2+2y3(x-y)(x3+y3) =2y(x2-xy+y2)(x-y)(x+y)(x2-xy+y2) =2yx2-y2 উত্তর :2yx2-y2 

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biyogphol nirony karo: ka. ax-3-a2x2-9 kh. 1y(x-y)-1x(x+y) ga. x+11+x+x2-x-11-x+x2 gh. a2+16b2a2-16b2-a-4ba+4b ঙ. 1x-y-x2-xy+y2x3+y3
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