Advertisements
Advertisements
Question
Factorise: x4 - 5x2 - 36
Advertisements
Solution
x4 - 5x2 - 36
= (x2)2 - 5x2 - 36
= (x2)2 - 9x2 + 4x2 - 36 ...{∵ -36 = -9 × 4 }
{-5 = -9 + 4}
= x2 (x2 - 9) + (x2 - 9)
= (x2 - 9)(x2 + 4)
= [x2 - (3)2] [x2 + 4]
= (x + 3)(x - 3)(x2 + 4)
= (x2 +4) (x + 3)(x - 3)
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise.
ax + bx − ay − by
Factorize the following:
3x − 9
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
10m3n2 + 15m4n − 20m2n3
Factorize the following:
16m − 4m2
Factorize the following:
ax2y + bxy2 + cxyz
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factorise:
`x^4 + y^4 - 27x^2y^2`
Factorise : 4(2x - 3y)2 - 8x+12y - 3
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Factorise : 2x3b2 - 4x5b4
Factorise : 17a6b8 - 34a4b6 + 51a2b4
factorise : 6x3 - 8x2
factorise : xy2 + (x - 1) y - 1
factorise : (ax + by)2 + (bx - ay)2
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
