If x-y=4 and xy=12 find x3-y3. Chapter 2 class 9 maths | Polynomials | Polynomials class 9

Uploaded August 2020 | Updated September 2026, 2 weeks ago

If x-y=4 and xy=12 find x3-y3. If x-y=4 and xy=12 find x^3-y^3. Chapter 2 class 9 maths | Polynomials | Polynomials class 9 |
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If x+y=12 and xy=27, find x^3+y^3.
youtu.be/onYlEqv8myI

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If x+1/x=6 find x2+1/x2. If x+1/x=3 then find the value of x^3+1/x^3.
youtu.be/zKAETkEUfEw

The other important questions which you must study from Chapter 2 class 9 are as follows:

(1) If x+y=12 and xy=32, find x^2+y^2.
youtu.be/oSNwEFfEeU0

(2) If a+b=8 and a^2+b^2=48, find a^3+b^3.
youtu.be/6nH9RycuSVg

(3) If x+y=12 and xy=27, find x^3+y^3.
youtu.be/onYlEqv8myI

(4) If x-y=4 and xy=12 find x3-y3.
youtu.be/aJsM4d4-cNI

(5) If x+1/x=6 find x2+1/x2. If x+1/x=3 then find the value of x^3+1/x^3.
youtu.be/zKAETkEUfEw

(6) If x^2+1/x^2=27 find the value of x+1/x.
youtu.be/dMPdd_gHVSc

(7) If x^2+1/x^2=66 find the value of x-1/x.
youtu.be/TMhtL2wTpos

(8) If x^2+1/x^2=7, find the value of x^3+1/x^3.
youtu.be/fcZvpGCwTS0

(9) If x^2+1/x^2=18 find x^3-1/x^3.
youtu.be/nhYx3VcnE8w

(10) If x+y=9 and xy=14, find the value of x-y.
youtu.be/DtA6wDq9Vrc

(11) If x-y=5 and xy=24 find the value of (x+y)
youtu.be/U9wn-kjh5Zk

(12) If x+y=3 and xy=2 find x3-y3
youtu.be/srTcaqr_De4

(13) If x+1/x=5 find the value of x^4+1/x^4
youtu.be/jtDP9tYeYuc

(14) If x+1/x=3 find x4-1/x4
youtu.be/x-W1dv4W-hQ

(15) If x2-3x+1=0 find x5+1/x5
youtu.be/fKgc_yHoYlo

(16) If x=5-2√6 find x2+1/x2
youtu.be/LxKCYDn3SUg

(17) If x=2+√3 find the value of x^3+1/x^3
youtu.be/-z2Riv7tOxA

(18) If x=3-2√2 then find the value of √x+1/√x
youtu.be/xmxw6TDnmaI

(19) If x=5+√24 find the value of √x+1/√x.
youtu.be/SDrsEnrGGYs

(20) factorise a^2+b^2-2(ab-ac+bc). factorise 4a^2-9b^2-(2a-3b). factorise a-b-a2+b2. factorise 108a^2-3(b-c)^2. factorise 25x^2-10x+1-36y^2
youtu.be/n4O1UVLjfAU

(21) Factorise x^8-y^8. Factorise x^4+y^4. Factorise x^4-y^4. Factorise x^8+y^8. Factorise x^2+y^2.
youtu.be/e5ByU8k-fcQ

(22) Factorise: x^2+1/x^2+2. Factorise x^2+1/x^2. Factorise x^2+1/x^2+1. polynomials class 9 chapter 2.
youtu.be/Rn9hKYFf_T8

(23) Factorise x^2+1/x^2+2-2x-2/x . Factorise x^3-1/x^3-2x+2/x
youtu.be/-OEDAVczNag

(24) Factorise 12(x^2+7x)^2-8(x^2+7x)(2x-1)-15(2x-1)^2. Factorise (x^2-3x)^2-8(x^2-3x)-20.
youtu.be/HgQzxOO97xY

(25) Simplify : (x^2+x-2)(x^2-x+2)
youtu.be/mcovtpr3BqY

(26) Factorise: (x+y)^3-(x-y)^3. Factorise : (x+y)^3+(x-y)^3
youtu.be/kvb5Guu6ffI

(27) Factorise : (2x-5y)^3-(2x+5y)^3. Factorise : (2x+3y)^3-(2x-3y)^3
youtu.be/xvKiqc9ZnfI

(28) Factorise: (x+2)^3-(x-2)^3
youtu.be/iEz5ePfkJMc

(29) Factorise (a+b)^3-8(a-b)^3
youtu.be/G5rmi8mTB4I

(30) If a+b+c=9 and ab+bc+ca=26 find the value of a^3+b^3+c^3-3abc
youtu.be/i7a_-1VtzF8

(31) If a+b+c=15 and a^2+b^2+c^2=83 find the value of a^3+b^3+c^3-3abc
youtu.be/10AvVP9hwcw

(32) Find the value of x^3+y^3+15xy-125 when x+y=5
youtu.be/S8E8G413D2o

(33) if a+b+c=6 find the value of (2-a)^3+(2-b)^3+(2-c)^3-3(2-a)(2-b)(2-c).
youtu.be/6nDV1YtvZlc

(34) Prove that (x+y)^3+(y+z)^3+(z+x)^3-3(x+y)(y+z)(z+x)=2(x^3+y^3+z^3-3xyz)
youtu.be/9B9XxHzxxWQ

(35) Without actual division prove that x^4-5x^3+8x^2-10x+12 is exactly divisible by x^2-5x+6
youtu.be/muHCCg_C-g8

(36) Let p and q be the remainders when the polynomials x^3+2x^2-5ax-7 and x^3+ax^2-12x+6 are divided by (x+1) and (x-2) respectively. If 2p+q=6, find the value of a.
youtu.be/MkpKmsnJQn0

(37) If both (x-2) and (x-1/2) are the factors of px^2+5x+r, then show that p=r.
youtu.be/PYF-9BuTJuM

(38) If the polynomials ax^3+4x^2+3x 4 and x^3 4x+a leave the same remainder when divided by (x-3), find a.
youtu.be/BWjCjVOsAh4

(39) Factorise x6+5x3+8.
youtu.be/VLzw-m_2wCk

(40) Simplify (a+b)^3-(a-b)^3-6b(a^2-b^2).
youtu.be/ceSfFXP1XQY

(41) Factorise (x2+1/x2)2-4(x+1/x)+6
youtu.be/xmNvrdMITfM

(42) If a+b+c=0, then prove that (b+c)^2/3bc + (c+a)^2/3ca + (a+b)^2/3ab = 1.
youtu.be/l9RY46ykQh4

(43) If ab+bc+ca=0 , find the value of (1/a^2 - bc) + (1/b^2 - ac) + (1/c^2 - ab).
youtu.be/PrtI9BzGVmM

(44) If x=1/2-√3 find the value of x3-2x2-7x+5
youtu.be/qlZr6QwNZ1k

(45) Prove that (a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a)
youtu.be/AgXlujkLrWM

(46) How to factorise cyclic polynomial. Factorise a(b^2-c^2)+b(c^2-a^2)+c(a^2-b^2)
youtu.be/D3KoqbBnt6s

(47) if x=2+3√2 find the value of x+14/x
youtu.be/7FGspP29MJA

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