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
Evaluate the following product without multiplying directly:
103 × 107
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Evaluate the following using identities:
`(2x+ 1/x)^2`
Evaluate the following using identities:
117 x 83
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
Find the cube of the following binomials expression :
\[\frac{3}{x} - \frac{2}{x^2}\]
Evaluate of the following:
(103)3
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)
Evaluate: (9 − y) (7 + y)
Find the squares of the following:
3p - 4q2
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Using suitable identity, evaluate the following:
1033
Expand the following:
(4a – b + 2c)2
