Answer:
i). x³ + 9x² + yz - 15
ii). -21m³np - 8p⁵q + mnp + 4mn + 100
Step-by-step explanation:
Question (38)
i). Two expressions are -5x² - 4yz + 15 and x³+ 4x²- 3yz
By subtracting expression (1) from expression (2) we can the expression by addition which we can get expression (1).
(x³+ 4x²- 3yz) - (-5x² - 4yz + 15) = x³ + 4x² - 3yz + 5x² + 4yz - 15
= x³ + 9x² + yz - 15
ii). -15m³np + 2p⁵q - 6m³pn + mnp + 4mn - 10qp⁵+ 100
= (-15m³np - 6m³np) + (2p⁵q - 10qp⁵) + mnp + 4mn + 100
= -21m³np - 8p⁵q + mnp + 4mn + 100
Answer:
1) commutative property of addition
2)associative property of addition
3) commutative property
Step-by-step explanation:
1) You switched the numbers in the parenthesis, which in this case is 3 and 4.
2) You just moved the parenthesis which in this case is (1+2) to (2+3)
3) You switched the numbers in the equation
Answer:
60
Step-by-step explanation:
double 50 is 100 half of 80 is 40 answer is 60
hope this helps
Option A
The solution set of the equation is {-12, -2}
<h3><u>Solution:</u></h3>
Given equation is:

We have to find the solution set of this equation by completing the square
First, rearrange the equation so that only zero will be on the right side:
----- eqn 1
<em><u>The general form of quadratic equation is:</u></em>
where 
On comparing the given eqn 1 with general quadratic equation, we get
a = 1
b = 14
c = 24
In completing the square, we take half of coefficient of middle term "x" and then square it. Then we add it on both sides of the equation
So to complete the square, add
to both sides of the equation



Take square root on both sides


Now make two equations
x + 7 = + 5 and x + 7 = -5
x = +5 - 7 = -2
x = -2
And,
x + 7 = -5
x = -5 - 7 = -12
x = -12
Therefore, the solution set of the equation is {-12, -2} and option A is correct