1.计算:(1)(2a+3b) (2a-b) (2) 5x^2 (x+1)(x-1) (3) (2x+y-1)^22.计

1个回答

  • 1.计算:

    (1)(2a+3b) (2a-b)

    =4a^2-2ab+6ab-3b^2

    =4a^2+4ab-3b^2

    (2) 5x^2 (x+1)(x-1)

    =5x^2 (x^2-1)

    =5x^4-5x^2

    (3) (2x+y-1)^2

    =(2x+y)^2-2(2x+y)+1

    =4x^2+4xy+y^2-4x-2y+1

    2.计算:

    (1) (2a)^3·b^4 ÷12a^3 b^2

    = 8a^3·b^4 ÷12a^3 b^2

    =2/3b^2

    (2) (-2/3a^7 b^5) ÷ 3/2 a^2 b^5

    =(-2/3)÷ 3/2*(a^7 b^5÷ a^2 b^5)

    =-4/9a^5

    (3)(6/5 a^3 x^4-0.9ax^3)÷3/5ax^3

    =(6/5 a^3 x^4-9/10ax^3)÷3/5ax^3

    =3/5ax^3(2a^2 x-3/2)÷3/5ax^3

    =2a^2 x-3/2

    (4) (7x^2 y^3-8x^3 y^2 z)÷8x^2 y^2

    = 8x^2 y^2(7/8y-xz)÷8x^2 y^2

    = 7/8y-xz

    3.分解因式

    (1) 25x^2 -16y^2

    =(5x+4y)(5x-4y)

    (2) (a-b)(x-y)-(b-a)(x+y)

    =(a-b)(x-y)+(a-b)(x+y)

    =(a-b)(x-y+x+y)

    =2x(a-b)