Respuesta :
Answer:
The simplified product has a degree of 2.
The simplified product, in standard form has exactly 2 negative terms.
Step-by-step explanation:
[tex](b - 2c)(-3b + c)[/tex]
LEts multiply it using FOIL method
[tex]b* -3b= -3b^2[/tex]
[tex]b*c= bc[/tex]
[tex](-2c) * (-3b)= 6bc[/tex]
[tex](-2c) * c= -2c^2[/tex]
The product is [tex]-3b^2 +bc+6bc-2c^2[/tex]
[tex]-3b^2+7bc-2c^2[/tex]
The simplified product has a degree of 2.
It has two negative terms
Answer: The correct options are,
The simplified product has a degree of 2,
The simplified product, in standard form, has exactly 2 negative terms.
Step-by-step explanation:
Here, the given expression,
[tex](b-2c)(-3b+c)[/tex]
By distributive property,
[tex]=(b-2c)(-3b)+(b-2c)(c)[/tex]
Again by distributive property,
[tex]=b(-3b)-2c(-3b)+bc-2c(c)[/tex]
[tex]=-3b^2+6bc+bc-2c^2[/tex]
[tex]=-3b^2+7bc-2c^2[/tex]
Which is the simplified form of the given expression,
That having three terms in which two terms are negative and the degree ( The highest sum of the exponents of the variables) is 2,
Hence, the correct options are,
The simplified product has a degree of 2,
The simplified product, in standard form, has exactly 2 negative terms.
