Đáp án:
`A=x^4+4x^2+4`
`B=a^4-50a^2+625`
`C=a^4-81`
Giải thích các bước giải:
`A=(x^2+3x+1)^2+(3x-1)^2-2(x^2+3x+1)(3x-1)`
`=(x^2+3x+1)^2-2(x^2+3x+1)(3x-1)+(3x-1)^2`
`=[(x^2+3x+1)-(3x-1)]^2`
`=(x^2+3x+1-3x+1)^2`
`=(x^2+2)^2`
`=(x^2)^2+2.x^2 .2+2^2`
`=x^4+4x^2+4`
`B=(a-5)^2(a^2+10a+25)`
`=(a-5)^2(a^2+2.a.5+5^2)`
`=(a-5)^2(a+5)^2`
`=[(a-5)(a+5)]^2`
`=(a^2-5^2)^2`
`=(a^2-25)^2`
`=(a^2)^2-2.a^2 .25+25^2`
`=a^4-50a^2+625`
`C=(a-3)(a^2+9)(a+3)`
`=[(a-3)(a+3)](a^2+9)`
`=(a^2-3^2)(a^2+9)`
`=(a^2-9)(a^2+9)`
`=(a^2)^2-9^2`
`=a^4-81`