Advertisements
Advertisements
Question
Multiply: x2 + 4y2 + 2xy − 3x + 6y + 9 by x − 2y + 3
Advertisements
Solution
The given expression is
`x^2 +4y^2 +2xy -3x +6y+9`
We have to multiply the above expression by (x - 2y +3).
The required product is
`(x-2y+3)(x^2 +4y^2 +2xy - 3x +6y +9)`
` = {x+(-2y)+3}{(x)^2 + (-2y)^2 +(3)^2 -x.(-2y) -(-2y).(3) - (3).x}`
Recall the formula
`a^3+b^3 +c^3-3abc = (a+b+c)(a^2 +b^2 +c^2 - ab - bc-ca)`
Using the above formula, we have
` = x^3 +(-2y)^3 + (3)^3 - 3.x.(-2y).(3)`
` = x^3 -8y^3 +27 +18xy`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Factorize (x + 2)(x2 + 25) -10x2 - 20x
Factorize `x^2 + 12/35 x + 1/35`
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
If 3x = a + b + c, then the value of (x − a)3 + (x −b)3 + (x − c)3 − 3(x − a) (x − b) (x −c) is
Divide: - 50 + 40p by 10p
Divide: 10x3y - 9xy2 - 4x2y2 by xy
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
If x = 2 and y = 3, then find the value of the following expressions
x + y
Shashi used addition to solve a word problem about the weekly cost of commuting by toll tax for ₹ 15 each day. Ravi solved the same problem by multiplying. They both got the correct answer. How is this possible?
