Question

Приведите подобное слагаемые : a) -4a+12a+13a-27a б) 42x-48x-63x-24x в) -17x+19y-15y+13x г) 9n-8m-7m+35n-19n

Answer 1

a) -4a+12a+13a-27a = -4a+25a-27a=21a-27a=-6a
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б) 42x-48x-63x-24x = -6x-63x-24x=-30x-63x=-93x
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в) -17x+19y-15y+13x = -4x+4y=-4(x-y)
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г) 9n-8m-7m+35n-19n = -10n-15m+35n=20n-15m=5*(4n-3m) 

Answer 2

a) -4a + 12a + 13a - 27a

To simplify this expression, we can combine the like terms. Like terms are terms that have the same variable raised to the same power. In this case, all the terms have the variable 'a' raised to the power of 1.

Combining the like terms, we have:

-4a + 12a + 13a - 27a

To add or subtract terms with the same variable, we add or subtract their coefficients. The coefficient is the number in front of the variable. In this case, the coefficients of 'a' are -4, 12, 13, and -27.

Adding the coefficients, we get:

(-4 + 12 + 13 - 27)a

Simplifying further, we have:

-6a

Therefore, the simplified expression is -6a.

b) 42x - 48x - 63x - 24x

Similarly, we can combine the like terms in this expression. All the terms have the variable 'x' raised to the power of 1.

Combining the like terms, we have:

42x - 48x - 63x - 24x

Adding the coefficients, we get:

(42 - 48 - 63 - 24)x

Simplifying further, we have:

-93x

Therefore, the simplified expression is -93x.

c) -17x + 19y - 15y + 13x

In this expression, we have two variables, 'x' and 'y'. We can combine the like terms separately for each variable.

Combining the 'x' terms, we have:

-17x + 13x

Adding the coefficients, we get:

(-17 + 13)x

Simplifying further, we have:

-4x

Now, combining the 'y' terms, we have:

19y - 15y

Adding the coefficients, we get:

(19 - 15)y

Simplifying further, we have:

4y

Therefore, the simplified expression is -4x + 4y.

d) 9n - 8m - 7m + 35n - 19n

In this expression, we have two variables, 'n' and 'm'. We can combine the like terms separately for each variable.

Combining the 'n' terms, we have:

9n + 35n - 19n

Adding the coefficients, we get:

(9 + 35 - 19)n

Simplifying further, we have:

25n

Now, combining the 'm' terms, we have:

-8m - 7m

Adding the coefficients, we get:

(-8 - 7)m

Simplifying further, we have:

-15m

Therefore, the simplified expression is 25n - 15m.