Advertisements
Advertisements
Question
125 + 8x3 - 27 y3 + 90xy
Advertisements
Solution
= 53 + (2x)3 + (-3y )3 - 3 × 5 × 2x × (-3y )
= (5 + 2x + (-3y ))(52 + (2x)2 + (-3y )2 - 5(2x) - 2x (-3y ) - (-3y )5)
= (5 + 2x - 3y )(25 + 4x2 + 9 y2 -10x + 6xy +15 y )
∴ 125 + 8x3 - 27 y3 + 90xy = (5 + 2x - 3y)(25 + 4x2 + 9 y2 -10x + 6xy +15y )
APPEARS IN
RELATED QUESTIONS
Factorize the following expressions:
54x6y + 2x3y4
Factorize the following expressions:
8a3 - b3 - 4ax + 2bx
`1/27 x^3 - y^3 + 125z^3 + 5xyz`
`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is
Write the number of the term of the following polynomial.
ax ÷ 4 – 7
Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2)
The variable in the expression 16x – 7 is __________
A school has a rectangular playground with length x and breadth y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?
