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1)x^4 + 4x^2 +42)9a^4 + 24a^2b^2 +16b^43)4a^2b^2 –c^2d^2 4)a^3+ 275)x^16 –y^166)x^3 -1257)-64+ 1/8x^38)8x^3 + 60x^2y + 150xy^2 +125y^39)9x^2 + 30x +2510) 4/9x^4 – 16x^211) 12/5 x^2y^2 – 9x^4 -4/25 y^412) 64x^2 – (8a+b)^213) a^2y^2 + b^2x^2 – 2abxy14) 100 – (3x-y)^215) 27x^3 – a^3b^316) 27x^3 – 27x^2 + 3x +117) 1/27 +x^318) x^3 -3x^2 +3x -119) 0,001 – 1000x^320) (x+3)^2 +4(x+3) +421) (x+2)^2 +2(x+2) (x-2)+(x-2)^222) (x-3)^2 -2(x^2 - 9) + (x^3)^223) 25+10(x+1) + (x+1)^224) (x+y+z)^2 – (y+z)^225) x^2 -2
1) $x^4+4x^2+4=(x^2+2)^2$2)$9a^4+24a^2b^2+16b^4=(3a^2+4b^2)^2$3)$4a^2b^2-c^2d^2=(2ab-cd)(2ab+cd)$4)$a^3+27=(a+3)(a^2-3a+9)$5)$x^16-y^16=(x^8-y^8)(x^8+y^8)$$=(x^4-y^4)(x^4+y^4)(x^8+y^8)$$=(x^2-y^2)(x^2+y^2)(x^4+y^4)(x^8+y^8)$$=(x-y)(x+y)(x^2+y^2)(x^4+y^4)(x^8+y^8)$6)$x^3-125=(x-5)(x^2+5x+25)$7)$-64x+dfrac18x^3=dfrac18x^3-64$$=(dfrac12x-4)(dfrac14x+2x+16)$8)$8x^3+60x^2y+150xy^2+125y^3=(2x+5y)^2$9) $9x^2+30x+25=(3x+5)^2$10)$dfrac49x^4-16x^2=(dfrac23x^2+4x)(dfrac23x^2-4x)$11)$dfrac125x^2y^2-9x^4-dfrac425y^4$$=-(9x^4-dfrac125x^2y^2+dfrac425y^4)$$=-(3x^2-dfrac25y^2)$$=dfrac25y^2-3x^2$12)$64x^2-(8a+b)^2=(8x-8a-b)(8x+8a+b)$13)$a^2y^2+b^2x^2-2abxy=(ay+bx)^2$14)$100-(3x-y)^2=(10-3x+y)(10+3x-y)$15)$27x^3-a^3b^3=(3x-ab)(9x^2+3xab+a^2+b^2)$16) Theo bản thân thì đề chắc đề xuất là: $27x^3-27x^2+3x-1=(3x-1)^3$17)$dfrac127+x^3=(dfrac13+x)(dfrac19-dfrac13x+x^2)$18)$x^3-3x^2+3x-1=(x-1)^3$19)$0,001-1000x^3=(0,1-10x)(0,01+x+100)$20)$(x+3)^2+4(x+3)+4=(x+3+2)^2=(x+5)^2$21)$(x+2)^2+2(x+2)(x-2)+(x-2)^2=(x+2+x-2)^2 =(2x)^2=4x^2$22)$(x-3)^2-2(x^2-9)+(x+3)^2$$=(x-3)^2-2(x-3)(x+3)+(x+3)^2$$=(x-3-x-3)^2=(-6)^2=36$23)$25+10(x+1)+(x+1)^2=(5+x+1)^2=(x+6)^2$24)$(x+y+z)^2-(y+z)^2=(x+y+z+y+z)(x+y+z-y-z)$$=x(x+2y+2z)$25)$x^2-2=(x-sqrt2)(x+sqrt2)$
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