Advertisements
Advertisements
Question
Simplify and find the degree of the following expression.
10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)
Solution
10x2 – 3xy + 9y2 – (3x2 – 6xy – 3y2)
= 10x2 – 3xy + 9y2 + (– 3x2 + 6xy + 3y2)
= 10x2 – 3xy + 9y2 – 3x2 + 6xy + 3y2
= (10x2 – 3x2) + (– 3xy + 6xy) + (9y2 + 3y2)
= x2(10 – 3) + xy(– 3 + 6) + y2(9 + 3)
= x2(7) + xy(3) + y2(12)
Hence, the degree of the expression is 2.
APPEARS IN
RELATED QUESTIONS
The degree of the term a3b2c4d2 is ___________
Degree of the constant term is ______________
The degree of the expression −4x2 yz is −4
Find the degree of the following terms.
−7ab
Find the degree of the following expression.
x3 – 1
Find the degree of the following expression.
5 – 9y + 15y2 – 6y3
Add and find the degree of the following expressions.
(9x + 3y) and (10x – 9y)
Add and find the degree of the following expressions.
(k2 – 25k + 46) and (23 – 2k2 + 21k)
The degree of 6x7 – 7x3 + 4 is
Find the value of w, given that x = 3, y = 4, z = – 2 and w = x2 – y2 + z2 – xyz
