RÚT GỌN BIỂU THỨC
a) A= (x-y) (x^2 + xy + y^2) – (x+y) (x^2 – xy +y^2)
b) B= (a^2b^2 -5a) (a^4b^4 + 5a^3b^2 + 25d^2)
c) C= (2x + 3y) (4x^2 – 6xy + 9y^2)
d) D= (y + 2) (y^2 – 2y + 4)
RÚT GỌN BIỂU THỨC
a) A= (x-y) (x^2 + xy + y^2) – (x+y) (x^2 – xy +y^2)
b) B= (a^2b^2 -5a) (a^4b^4 + 5a^3b^2 + 25d^2)
c) C= (2x + 3y) (4x^2 – 6xy + 9y^2)
d) D= (y + 2) (y^2 – 2y + 4)
CHÚC BẠN HỌC TỐT !!!!!!!!
Đáp án:
$a)$
$(x – y)(x^2 + xy + y^2) – (x + y)(x^2 – xy + y^2)$
$= (x^3 – y^3) – (x^3 + y^3)$
$= x^3 – y^3 – x^3 – y^3$
$= – 2y^3$
$b)$
$(a^2b^2 – 5a)(a^4b^4 + 5a^3b^2 + 25a^2)$
$= (a^2b^2 – 5a)[(a^2b^2)^2 + a^2b^2.5a + (5a)^2]$
$= (a^2b^2)^3 – (5a)^3$
$= a^6b^6 – 125a^3$
$c)$
$(2x + 3y)(4x^2 – 6xy + 9y^2)$
$= (2x + 3y).[(2x)^2 – 2x.3y + (3y)^2]$
$= (2x)^3 + (3y)^3$
$= 8x^3 + 27y^3$
$d)$
$(y + 2)(y^2 – 2x + 4)$
$= (y + 2)(y^2 – 2x + 2^2)$
$= y^3 + 2^3$
$= y^3 + 8$
A=(x^3-y^3)-(X^3+y^3)
=x^3-y^3-x^3-y^3
=-y^3
D=(y^3+8)
C=(2x+3y)((2x)^2-2.3xy+(3y)^2)
C=(2x^3+3y^3)