因式分解1.(ax+by)^2+(by-ay)^22.x^2+(7/4)x+5/83.abc+5a^2+(a+bc)(a-bc)
热心网友
1:(ax+by)^2+(bx-ay)^2=a^2x^2+2abxy+b^2y^2+b^2x^2-2abxy+a^2y^2=a^2(x^2+y^2)+b^2(x^2+y^2)=(x^2+y^2)(a^2+b^2)2:x^2+(7/4)x+5/8=(x+1/2)(x+5/4)3:abc+5a^2+a^2-b^2c^2=a^2+abc+b^2c^2/4-5b^2c^2/4+5a^2=(a+bc/2)^2-5(b^2c^2/4-a^2)=(a+bc/2)^2-5(bc/2+a)(bc/2-a)=(a+bc/2)(a+bc/2-5bc/2+5a)=(a+bc/2)(6a-2bc)