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

Toán Lớp 8: Đề bài: Tính a) (1/2 x+4)^2 b) (7x-5y)^2 c) (6x^2+y)^2 (y^2-6x^2) d) (x+2y)^2 e) (x-3y) (x+3y) f) (5-x)^2

Toán Lớp 8: Đề bài: Tính
a) (1/2 x+4)^2
b) (7x-5y)^2
c) (6x^2+y)^2 (y^2-6x^2)
d) (x+2y)^2
e) (x-3y) (x+3y)
f) (5-x)^2

Comments ( 2 )

  1. a. $\left(\dfrac12 x+4\right)^2$
    $= \left(\dfrac12 x\right)^2+2.\dfrac12 x.4 + 4^2$
    $= \dfrac14x^2+4x+16$
    b. $(7x-5y)^2$
    $= (7x)^2-2.7x.5y+(5y)^2$
    $= 49x^2-70xy+25y^2$
    c. $(6x^2+y^2)^2(y^2-6x^2)$
    $= (6x^2+y^2)(y^2+6x^2)(y^2-6x^2)$
    $= (6x^2+y^2)[(y^2)^2-(6x^2)^2]$
    $= (6x^2+y^2)(y^4-36x^4)$
    $= 6x^2y^4-216x^6+y^6-36x^4y^2$
    d. $(x+2y)^2$
    $= x^2+2.x.2y+(2y)^2$
    $= x^2+4xy+4y^2$
    e. $(x-3y)(x+3y)$
    $= x^2-(3y)^2$
    $= x^2-9y^2$
    f. $(5-x)^2$
    $= 5^2-2.5.x+x^2$
    $= 25-10x+x^2$

  2. Lời giải và giải thích chi tiết:
    a, (1/2x+4)^2
    =(1/2x)^2+2. 1/2x . 2+2^2
    =1/4x^2+2x+4
    b,(7x-5y)^2
    =(7x)^2-2.7x.5y+(5y)^2
    =49x^2-70xy+25y^2
    c,(6x^2+y)^2(y^2-6x^2)
    =(6x^2+y^2)(6x^2+y^2)(y^2-6x^2)
    =(6x^2+y^2)(y^4-36y^4)
    =6x^2y^4-216x^6+y^6-36x^4y^2
    d,(x+2y)^2
    =x^2+2.x.2y+(2y)^2
    =x^2+4xy+4y
    e,(x-3y)(x+3y)
    =x^2-(3y)^2
    =x^2-9y
    f, (5-x)^2
    =5^2+2.5.x-x^2
    =25+10x-x^2
     

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