\(Bài1.\)
\(a.2x\left(x+3\right)+2\left(x+3\right)=\left(x+3\right)\left(2x+2\right).\)
\(b.4x\left(x-2y\right)+8y\left(x-2y\right)=\left(x-2y\right)\left(4x+8y\right).\)
\(c.y^2\left(x^2+y\right)-zx^2-zy=y^2\left(x^2+y\right)-z\left(x^2+y\right)\)
\(=\left(x^2+y\right)\left(y^2-z\right).\)
xin lỗi nha anh phải đi học rùi. Nên chỉ làm được chừng này thui.
Bài 1
a) 2x(x + 3) + 2(x + 3)
= (x + 3)(2x + 2)
= 2(x + 3)(x + 1)
b) 4x(x - 2y) + 8y(2y - x)
= 4x(x - 2y) - 8y(x - 2y)
= (x - 2y)(4x - 8y)
= 4(x - 2y)(x - 2y)
= 4(x - 2y)²
c) y²(x² + y) - zx² - zy
= y²(x² + y) - (zx² + zy)
= y²(x² + y) - z(x² + y)
= (x² + y)(y² - z)
d) 3x(x + 7)² - 11x²(x + 7) + 9(x + 7)
= (x + 7)[3x(x + 7) - 11x² + 9]
= (x + 7)(3x² + 21x - 11x² + 9)
= (x + 7)(-8x² + 21x + 9)
= (x + 7)(-8x² + 24x - 3x + 9)
= (x + 7)[(-8x² + 24x) - (3x - 9)]
= (x + 7)[-8x(x - 3) - 3(x - 3)]
= (x + 7)(x - 3)(-8x - 3)
e) (x + 5)² - 3(x + 5)
= (x + 5)(x + 5 - 3)
= (x + 5)(x + 2)
f) 2x(x - 3) - (x - 3)²
= (x - 3)(2x - x + 3)
= (x - 3)(x + 3)
g) x(x - 7) + (7 - x)²
= x(x - 7) + (x - 7)²
= (x - 7)(x + x - 7)
= (x - 7)(2x - 7)
h) 3x(x - 9)² - (9 - x)²
= 3x(x - 9)² - (x - 9)²
= (x - 9)²(3x - 1)
i) 5x(x - 2) - (2 - x)
= 5x(x - 2) + (x - 2)
= (x - 2)(5x + 1)
j) 4x(x + 1) - 8x²(x + 1)
= (x + 1)(4x - 8x²)
= 4x(x + 1)(1 - 2x)
o) 5x⁵(x - 2z) + 5x⁵(2z - x)
= 5x⁵(x - 2z) - 5x⁵(x - 2z)
= 0
p) 10x(x - y) - 8y(y - x)
= 10x(x - y) + 8y(x - y)
= (x - y)(10x + 8y)
= 2(x - y)(5x + 4y)
r) 2x(x + 1) + 2(x + 1)
= (x + 1)(2x + 2)
= 2(x + 1)(x + 1)
= 2(x + 1)²
t) 4x(x - 2y) + 8y(2y - x)
= 4x(x - 2y) - 8y(x - 2y)
= (x - 2y)(4x - 8y)
= 4(x - 2y)(x - 2y)
= 4(x - 2y)²
bài 2
a) \(3x-3y=3\left(x-y\right)\)
b) \(2x^2+5x^3+x^2y=x^2\left(5x+y+2\right)\)
c) \(14x^2-21xy^2+28x^2y^2\)
\(=7x\left(2x-3y^2+4xy^2\right)\)
d) \(4x^3-14x^2=2x^2\left(2x-7\right)\)
e) \(5y^{10}+15y^{15}=5y^{10}\left(1+3y^5\right)\)
Em xem lại đề giùm, hình mờ quá
f) \(9x^2y^2+15x^2y-21xy\)
\(=3xy\left(3xy+5x-7\right)\)
g) \(x\left(y-1\right)-y\left(y-1\right)\)
\(=\left(y-1\right)\left(x-y\right)\)
h) \(10x\left(x-y\right)-8y\left(y-x\right)\)
\(=10x\left(x-y\right)+8y\left(x-y\right)\)
\(=\left(x-y\right)\left(10x-8y\right)\)
\(=2\left(x-y\right)\left(5x-4y\right)\)
i) \(3x^2\left(x+1\right)-2\left(x+1\right)\)
\(=\left(x+1\right)\left(3x^2-2\right)\)
