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Multiply monomials show your solution
2x(4x²-5x+3)


Sagot :

Answer:

[tex]8x^{3} -10x^{2} +6x[/tex]

that is the correct answer

Step-by-step explanation:

Simplify the expression

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[tex] \green{ \huge{ \tt{{✨Question:✨}}}}[/tex]

Multiply monomials show your solution

2x(4x²-5x+3)

[tex] \pink{ \huge{ \tt{{✨Answer:✨}}}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \large{{8 {x}^{3} - 10 {x}^{2} + 6x}}}}[/tex]

[tex] \purple{ \huge{ \tt{{✨Solution:✨}}}}[/tex]

  • Multiply each term in the parentheses by 2x.

[tex] \: \red{{2x \: (4 {x}^{2} - \: 5x \: + \: 3)}} \\ \\ = \red{{\: 2x \: \times \: 4 {x}^{2} \: - \: 2x \: \times 5x \: + 2x \: \times \: 3}}[/tex]

  • Calculate the product.

[tex]= \red{{ 2x \: \times \: 4x {}^{2}}} \: - \: \purple{{2x \: \times \: 5x}} \: + \: \pink{{2}}x \: \pink{{\times \: 3}}\\ \\ = \red{{8x {}^{3} }} \: - \purple{{10 {x}^{2} }} + \pink{{6}}x[/tex]