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Solve for [tex]\( x \)[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]




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[tex]\((m-7)(m+2)=\)[/tex]
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Response:
Simplify the expression:

[tex]\[ (m-7)(m+2) = \][/tex]

Sagot :

GinnyAnsweridn
To solve the given expression [tex]\((m-7)(m+2)\)[/tex], we will use the distributive property, often referred to as the FOIL method (First, Outer, Inner, Last). Here is the detailed step-by-step solution:

1. First Terms (F):
Multiply the first terms in each binomial:
[tex]\[ m \cdot m = m^2 \][/tex]

2. Outer Terms (O):
Multiply the outer terms in the binomials:
[tex]\[ m \cdot 2 = 2m \][/tex]

3. Inner Terms (I):
Multiply the inner terms in the binomials:
[tex]\[ -7 \cdot m = -7m \][/tex]

4. Last Terms (L):
Multiply the last terms in each binomial:
[tex]\[ -7 \cdot 2 = -14 \][/tex]

5. Combine All Terms:
Now, we need to sum all these products together:
[tex]\[ m^2 + 2m - 7m - 14 \][/tex]

6. Simplify the Expression:
Combine the like terms ([tex]\(2m\)[/tex] and [tex]\(-7m\)[/tex]):
[tex]\[ m^2 + (2m - 7m) - 14 = m^2 - 5m - 14 \][/tex]

So, the simplified form of the expression [tex]\((m-7)(m+2)\)[/tex] is:
[tex]\[ m^2 - 5m - 14 \][/tex]
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