Advertisements
Advertisements
Question
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Sum
Solution
Note: (a+b) (a−b) = a2 − b2
`("z"-2/3)("z"+2/3)=("z")^2-(2/3)^2`
`="z"^2-4/9`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Find the following product:
(1 + x) (1 − x + x2)
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
If 3x + 4y = 16 and xy = 4; find the value of 9x2 + 16y2.
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
