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Deepen Your Understanding Factor out the common factor of each expressi- 1. -12n³m² +27m² +21²³ 2. 4x^² - 4x³y + 4x²y+ 3. 12y-42x-18 4. 27x¹ + 6x¹y - 30x³ 5. 8u+ 145 + 16v

yung 1-5 lng po plsss​

Deepen Your Understanding Factor Out The Common Factor Of Each Expressi 1 12nm 27m 21 2 4x 4xy 4xy 3 12y42x18 4 27x 6xy 30x 5 8u 145 16vyung 15 Lng Po Plsss class=

Sagot :

Answer:

[tex]\mathrm{1.\:3n^2\left(-4nm^2+9+7n\right)}[/tex]
[tex]\mathrm{2.\:4x^2y^4\left(x^2y^3-x+1\right)}[/tex]
[tex]\mathrm{3.\:6\left(2y-7x-3\right)}[/tex]
[tex]\mathrm{4.\:3x^3\left(9x+2xy-10\right)}[/tex]
[tex]\mathrm{5.\:2v^4\left(4v^2u+7v+8\right)}[/tex]

Step-by-step explanation:

[tex]\mathrm{1.\: -12n^3m^2 + 27n^2 + 21n^3}\\\\\mathrm{=-12n^2n+27n^2+21n^2n}\\\\\mathrm{=4\cdot \:3n^2n+9\cdot \:3n^2+7\cdot \:3n^2n}\\\\\mathrm{=3n^2\left(-4nm^2+9+7n\right)}[/tex]

[tex]\mathrm{2.\: 4x^4y^7-4x^3y^4+4x^2y^4}\\\\\mathrm{=4x^2x^2y^4y^3-4x^2xy^4+4x^2y^4}\\\\\mathrm{=4x^2y^4\left(x^2y^3-x+1\right)}[/tex]

[tex]\mathrm{3.\: 12y-42x-18}\\\\\mathrm{=2\cdot \:6y+7\cdot \:6x+3\cdot \:6}\\\\\mathrm{=6\left(2y-7x-3\right)}[/tex]

[tex]\mathrm{4.\: 27x^4 + 6x^4y - 30x^3}\\\\\mathrm{=27x^3x+6x^3xy-30x^3}\\\\\mathrm{=9\cdot \:3x^3x+2\cdot \:3x^3xy+10\cdot \:3x^3}\\\\\mathrm{=3x^3\left(9x+2xy-10\right)}[/tex]

[tex]\mathrm{5.\:8v^6u+14v^5+16v^4}\\\\\mathrm{=8v^4v^2+14v^4v+16v^4}\\\\\mathrm{=4\cdot \:2v^4v^2+7\cdot \:2v^4v+4\cdot \:2\cdot \:2v^4}\\\\\mathrm{=2v^4\left(4v^2u+7v+8\right)}[/tex]

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