Advertisements
Advertisements
Question
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Advertisements
Solution
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
= (–5x)2 + (4y)2 + (2z)2 + 2(–5x)(4y) + 2(4y)(2z) + 2(2z)(–5x) ...[Using identity, (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
= (–5x + 4y + 2z)2
= (–5x + 4y + 2z)(–5x + 4y + 2z)
APPEARS IN
RELATED QUESTIONS
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Factorise the following using appropriate identity:
`x^2 - y^2/100`
Evaluate the following using identities:
`(2x+ 1/x)^2`
Evaluate the following using identities:
117 x 83
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
If a2 + b2 + c2 − ab − bc − ca =0, then
Use identities to evaluate : (97)2
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Use the direct method to evaluate :
(2+a) (2−a)
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
Which one of the following is a polynomial?
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
