Question

Спростити вирази а) a+(3a-4)=б) 7n - (5+2n)=в) 5(2+3x)=г) -9p - 5 + 15p - 6=д) - (2x+5y) - (-3x+4y)=е) b(2a+4) - a(b-3)=​

Answer 1

Ответ:

а) a+(3a-4)=4а-4а=0

б) 7n - (5+2n)=2n-(2n)=0

в) 5(2+3x)=10+15x

г) -9p - 5 + 15p - 6=6p-11

д) - (2x+5y) - (-2x+5y)=-2x+5y+2x+5y=10y

е) b(2a+4) - a(b-3)=​2ab+4b-ab+3a=ab+4b+3a

Answer 2

a) a(3a-4)

To simplify the expression a(3a-4), we can use the distributive property of multiplication over addition and subtraction. This property states that multiplying a number by a sum or difference is the same as multiplying the number by each term in the sum or difference individually and then adding or subtracting the results.

Let's apply this property to the given expression:

a(3a-4) can be rewritten as 3a^2 - 4a.

So, the simplified expression is 3a^2 - 4a.

б) 7n - (5 + 2n)

To simplify the expression 7n - (5 + 2n), we need to distribute the negative sign inside the parentheses. When we distribute a negative sign, we change the signs of each term inside the parentheses.

7n - (5 + 2n) can be rewritten as 7n - 5 - 2n.

Next, we can combine like terms. In this case, we have 7n and -2n, which can be simplified to 5n.

So, the simplified expression is 5n - 5.

в) 5(2 + 3x)

To simplify the expression 5(2 + 3x), we need to apply the distributive property again.

5(2 + 3x) can be rewritten as 10 + 15x.

So, the simplified expression is 10 + 15x.

г) -9p + 5 + 15p - 6

To simplify the expression -9p + 5 + 15p - 6, we can combine like terms.

Combine the -9p and 15p, we get 6p.

Combine the constants 5 and -6, we get -1.

So, the simplified expression is 6p - 1.

д) -(2x + 5y) - (-3x + 4y)

To simplify the expression -(2x + 5y) - (-3x + 4y), we need to distribute the negative sign inside the parentheses.

-(2x + 5y) - (-3x + 4y) can be rewritten as -2x - 5y + 3x - 4y.

Next, we can combine like terms. In this case, we have -2x and 3x, which can be simplified to x. Similarly, we have -5y and -4y, which can be simplified to -9y.

So, the simplified expression is x - 9y.

е) b(2a + 4) - a(b - 3)

To simplify the expression b(2a + 4) - a(b - 3), we need to distribute the b and -a inside the parentheses.

b(2a + 4) - a(b - 3) can be rewritten as 2ab + 4b - ab + 3a.

Next, we can combine like terms. In this case, we have 2ab and -ab, which can be simplified to ab. Similarly, we have 4b and 3a.

So, the simplified expression is ab + 4b + 3a.

I hope this helps! Let me know if you have any further questions.