求解几个正式的乘除与因式分解的算数题.①(x-1/2)^2(x^2+1/4)^2(x+1/2)^2②（-3x^2.y^3.z）.①(x-1/2)^2(x^2+1/4)^2(x+1/2)^2②（-3x^2.y^3.z）.x^3（x^2.y）^2÷9x^4.y^5

Question

求解几个正式的乘除与因式分解的算数题.①(x-1/2)^2(x^2+1/4)^2(x+1/2)^2 ②（-3x^2.y^3.z）.
①(x-1/2)^2(x^2+1/4)^2(x+1/2)^2
②（-3x^2.y^3.z）.x^3（x^2.y）^2÷9x^4.y^5

Answer 1

①(x-1/2)^2(x^2+1/4)^2(x+1/2)^2
=(x-1/2)^2(x+1/2)^2(x^2+1/4)^2
=[(x-1/2)(x+1/2)]^2(x^2+1/4)^2
=(x²－1／4)^2(x^2+1/4)^2
=[(x²－1／4)(x^2+1/4)]^2
=(x⁴－1／16)²
=x^8－1／8x^4＋1／256
②（-3x^2.y^3.z）.x^3（x^2.y）^2÷9x^4.y^5
=﹣3x^5*y³*z*x^4y^2／9x^4 *y^5
=﹣3x^9*y^5*z／9x^4 *y^5
=﹣x^5y^10*z／3