Respuesta :
Answer:
(a)
Given the expression: [tex]6x+5y+7x[/tex]
to find the equivalent expression:
Like terms states that in algebraic expressions, like terms are terms that contain the same variables raised to the same power.
Here, 6x and 7x are like terms
then:
by combine like terms in the given expressions we get;
[tex]14x+5y[/tex]
Therefore, the equivalent expression of [tex]6x+5y+7x[/tex] is [tex]14x+5y[/tex]
(b)
Given the expression: 4g +2
Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.
i.e [tex]a\cdot (b+c) = a\cdot b+a\cdot c[/tex]
[tex]4g+2 = 2\cdot 2g + 2 \cdot 1[/tex]
by distributive property:
[tex]4g + 2 = 2\cdot (2g+1)[/tex]
therefore, the equivalent expression of 4g +2 is, 2(2g+1)
