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

Toán Lớp 8: Làm ơn giúp mk vs ạ .mk cần gấp ! Phân tích đa thức thành nhân tử ( x – 3y )^2 b) (2x + 5y)^2 c) ( 5x – 2y)( 5x + 2y ) d) ( 2x – y^3

Toán Lớp 8: Làm ơn giúp mk vs ạ .mk cần gấp !
Phân tích đa thức thành nhân tử
( x – 3y )^2 b) (2x + 5y)^2 c) ( 5x – 2y)( 5x + 2y ) d) ( 2x – y^3)
e) ( 2 +1/3 y)^3 f) (x – 2y)( x^2 + 2xy + 4y^2 ) g) ( 5x + 1)( 25×2 – 5x + 1)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     (x-3y)^2
    =x^2 -6xy+9y^2
    (2x+5y)^2
    =4x^2 +20xy+25y^2
    (5x-2y)(5x+2y)
    =25x^2 -4y^2
    2x-y^3
    (2+1/3y )^3
    =8+4y+2/3 y^2 +1/[27]y^3
    (x-2y)(x^2 +2xy+4y^2)
    =x^3 -(2y)^3
    =x^3 -8y^3
    (5x+1)(25x^2 -5x+1)
    =(5x)^3 +1^3
    =125x^3 +1

  2. $a)$ $\left(x-3y\right)^2$
    $=x^2-2x\cdot \:3y+\left(3y\right)^2$
    $=x^2-6xy+9y^2$
    $b)$ $\left(2x+5y\right)^2$
    $=\left(2x\right)^2+2\cdot \:2x\cdot \:5y+\left(5y\right)^2$
    $=4x^2+20xy+25y^2$
    $c)$ $\left(5x-2y\right)\left(5x+2y\right)$
    $=\left(5x\right)^2-\left(2y\right)^2$
    $=25x^2-4y^2$
    $d)$ $\left(\:2x\:-\:y^3\right)$
    $=2x-y^3$
    $e)$ $\left(2+\dfrac{1}{3y}\right)^3$
    $=\left(\dfrac{6y+1}{3y}\right)^3$
    $=\dfrac{\left(6y+1\right)^3}{\left(3y\right)^3}$
    $=\dfrac{\left(6y+1\right)^3}{27y^3}$
    $f)$ $\left(x-2y\right)\left(x^2+2xy+4y^2\right)$
    $=xx^2+x\cdot \:2xy+x\cdot \:4y^2-2yx^2-2y\cdot \:2xy-2y\cdot \:4y^2$
    $=x^3-8y^3$
    $g)$ $\left(5x+1\right)\left(25x^2-5x+1\right)$
    $=5x\cdot \:25x^2+5x\left(-5x\right)+5x\cdot \:1+1\cdot \:25x^2+1\cdot \left(-5x\right)+1\cdot \:1$
    $=125x^3+1$
     

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