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Bài 1: 

a: \(11x^2-6xy-5y^2\)

\(=11x^2-11xy+5xy-5y^2\)

\(=11x\left(x-y\right)+5y\left(x-y\right)\)

\(=\left(x-y\right)\left(11x+5y\right)\)

b: \(4x^3-16x^2+19x-6\)

\(=4x^3-8x^2-8x^2+16x+3x-6\)

\(=\left(x-2\right)\left(4x^2-8x+3\right)\)

\(=\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)

Bài 1: 

a: \(11x^2-6xy-5y^2\)

\(=11x^2-11xy+5xy-5y^2\)

\(=11x\left(x-y\right)+5y\left(x-y\right)\)

\(=\left(x-y\right)\left(11x+5y\right)\)

b: \(4x^3-16x^2+19x-6\)

\(=4x^3-8x^2-8x^2+16x+3x-6\)

\(=\left(x-2\right)\left(4x^2-8x+3\right)\)

\(=\left(x-2\right)\left(2x-3\right)\left(2x-1\right)\)

5 tháng 10 2021

\(a,=11x^2-11xy+5xy-5y^2=\left(11x+5y\right)\left(x-y\right)\\ b,=4x^3-8x^2-8x^2+16x+3x-6\\ =\left(x-2\right)\left(4x^2-8x+3\right)\\ =\left(x-2\right)\left(4x^2-2x-6x+3\right)\\ =\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)

Bài 1: 

a: \(11x^2-6xy-5y^2\)

\(=11x^2-11xy+5xy-5y^2\)

\(=11x\left(x-y\right)+5y\left(x-y\right)\)

\(=\left(x-y\right)\left(11x+5y\right)\)

b: \(4x^3-16x^2+19x-6\)

\(=4x^3-8x^2-8x^2+16x+3x-6\)

\(=\left(x-2\right)\left(4x^2-8x+3\right)\)

\(=\left(x-2\right)\left(2x-1\right)\left(2x-3\right)\)

24 tháng 8 2023

\(x^2-y^2+5x-5y\)

\(=\left(x-y\right)\left(x+y\right)+5\left(x-y\right)\)

\(=\left(x-y\right)\left(x+y+5\right)\)

\(---\)

\(x^2-16y^2+4x+4\)

\(=\left(x^2+4x+4\right)-16y^2\)

\(=\left(x+2\right)^2-\left(4y\right)^2\)

\(=\left(x+2-4y\right)\left(x+2+4y\right)\)

\(=\left(x-4y+2\right)\left(x+4y+2\right)\)

\(---\)

\(3x^2+6xy+3y^2-12\)

\(=3\left(x^2+2xy+y^2-4\right)\)

\(=3\left[\left(x+y\right)^2-2^2\right]\)

\(=3\left(x+y-2\right)\left(x+y+2\right)\)

\(---\)

\(4x^3+4x^2+x\)

\(=x\left(4x^2+4x+1\right)\)

\(=x\left(2x+1\right)^2\)

a) \(4x\left(a-b\right)-y\left(b-a\right)=4x\left(a-b\right)+y\left(a-b\right)=\left(4x+y\right)\left(a-b\right)\)

b) \(x^3-4x^2+8x-8=x^3-2x^2-2x^2+4x+4x-8\)

\(=x^2\left(x-2\right)-2x\left(x-2\right)+4\left(x-2\right)=\left(x-2\right)\left(x^2-2x+4\right)\)

c) \(5x^2-6xy+y^2=5x^2-5xy-xy+y^2\)

\(=5x\left(x-y\right)-y\left(x-y\right)=\left(5x-y\right)\left(x-y\right)\)

29 tháng 8 2023

A+B = \(4x^2y^3+6xy-7+\left(-8-3xy-3x^2y^3\right)\)

A+B = \(4x^2y^3+6xy-7-8-3xy-3x^2y^3\text{=}x^2y^3-3xy-15\)

A-B = \(7x^2y^3+9xy+1\)

B-A = \(-7x^2y^3-9xy-1\)

7 tháng 12 2019

giai giup chp minh voi cac ban