Advertisements
Advertisements
Question
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Advertisements
Solution
Let x - 2 y = P
= 7P2 - 25P +12
Splitting the middle term,
= 7P2 - 21P - 4P +12
= 7P ( P - 3) - 4 (P - 3)
= ( P - 3)(7P - 4)
Substituting P = x - 2y
= ( x - 2 y - 3)(7 ( x - 2 y ) - 4)
= ( x - 2 y - 3)(7x -14 y - 4)
∴ 7 ( x - 2 y)2 - 25( x - 2 y ) +12 = ( x - 2 y - 3)(7x -14 y - 4)
APPEARS IN
RELATED QUESTIONS
Factorize `21x^2 - 2x + 1/21`
Factorize the following expressions:
y3 +125
Separate the constants and variables from the following :
`-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",`
8 −5, 8 − 5x, 8x −5y × p and 3y2z ÷ 4x
Write the number of the term of the following polynomial.
ax – by + y x z
Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2)
Divide: 2m3n5 by - mn
Express the following as an algebraic expression:
The product of x and y divided by m.
Solve the following equation.
4(x + 12) = 8
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
What type of algebraic expression is 2x−4y²?
