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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: Viết các biểu thức sau dưới dạng đa thức: a) (2a-b)(b+4a)+2a(b-3a) b) (3a-2b)(2a-3b)-6a(a-b) c) 5b(2x-b)-(8b-x)(2x-b) d) 2x(a+15x)+(x-6

Toán Lớp 8: Viết các biểu thức sau dưới dạng đa thức:
a) (2a-b)(b+4a)+2a(b-3a)
b) (3a-2b)(2a-3b)-6a(a-b)
c) 5b(2x-b)-(8b-x)(2x-b)
d) 2x(a+15x)+(x-6a)(5a+2x)

Comments ( 2 )

  1. #AkaShi
    (2a-b)(b+4a)+2a(b-3a)
    =2ab+8a^2-b^2-4ab+2ab-6a^2
    =(2ab-4ab+2ab)+(8a^2-6a^2)-b^2
    =2a^2-b^2
    ……………….
    (3a-2b)(2a-3b)-6a(a-b)
    =6a^2-9ab-4ab+6b^2-6a^2+6ab
    =(6a²-6a²)+(-9ab-4ab+6ab)+6b^2
    =-7ab+6b²
    ………………
    5b(2x-b)-(8b-x)(2x-b)
    =10bx-5b²-(16bx-8b²-2x²+bx)
    =10bx-5b²-16bx+8b²+2x²-bx
    =(-5b²+8b²)+(10bx-16bx-bx)+2x²
    =3b²+2x²-7bx
    ……………..
    2x(a+15x)+(x-6a)(5a+2x)
    =2ax+30x²+5ax+2x²-30a²-12ax
    =(2ax+5ax-12ax)+(30x²+2x²)-30a²
    =-5ax+32x²-30a²

  2. Giải đáp:
    a)2a²-b²
    b)6b²-7ab
    c)2x²-7bx+3b²
    d)-5ax+32x²-30a²
    Lời giải và giải thích chi tiết:
    a)(2a-b)(b+4a)+2a(b-3a)
    =2ab+8a²-b²-4ab+2ab-6a²
    =(2ab-4ab+2ab)+(8a²-6a²)-b²
    =2a²-b²
    b)(3a-2b)(2a-3b)-6a(a-b)
    =6a²-9ab-4ab+6b²-6a²+6ab
    =(6a²-6a²)+6b²+(-9ab-4ab+6ab)
    =6b²-7ab
    c)5b(2x-b)-(8b-x)(2x-b)
    =10bx-5b²-(16bx-8b²-2x²+bx)
    =10bx-5b²-16bx+8b²+2x²-bx
    =2x²+(10bx-16bx-bx)+(-5b²+8b²)
    =2x²-7bx+3b²
    d)2x(a+15x)+(x-6a)(5a+2x)
    =2ax+30x²+5ax+2x²-30a²-12ax
    =(2ax+5ax-12ax)+(30x²+2x²)-30a²
    =-5ax+32x²-30a²

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222-9+11+12:2*14+14 = ? ( )