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Syllabus

Q) Factorise:

${x}^{4}-14{x}^{2}+1$

$\left(7{x}^{3}-63x\right)\xf77\left(x-3\right)$

9x^4 - x^2 - 12x - 36

1/35 +12/35a+a?

Answer quickly

Factorise the following

9(X+y)whole square -x square

1/35 + 12a/35 + a

^{2}a(b-c)(b+c)-d(c-b)

x^4 + y^4 - 27x^2y^2

Q.4. ${x}^{4}+{y}^{4}-27{x}^{2}{y}^{2}$

50x^2-2(x-2)^2

x^2+3x+2+ ax+2a

^{2}-1)(y^{2}-1)+4xy^{9}+y^{9}Q.11.(i) $9{x}^{4}-{x}^{2}-12x-36$

^{2}-5p+9/4${\left(\frac{7}{2}a-\frac{5}{2}b\right)}^{2}-{\left(\frac{5}{2}a-\frac{7}{2}b\right)}^{2}$

^{}^{4}+36x^{2}y^{2}+81y^{4}y+z=6yz

z+x=7zx

Find x+y+z.

x - y - x^2 + y^2

^{2}+3x-28,hence find x such that 4^{x}+3.2^{x}-28=0Q.13. $16{y}^{4}-81$

Q. $3{x}^{2}y-3xy+12x-12$

(2a + b) ^ 2 - 6a - 3b -4

Factorise:

1. 8x

^{2}y^{3}- x^{5}(a) x^2 + 1/x^2 - 11

(b) 4x^2 + 1/4x^2 + 1

1\35 + 12\35 a + a^2

[6(x+2y)^3]+[8(x+2y)^2]

(a square - b square ) ( c square - d square ) -4abcd

17. If a+b+c=0, find : $\frac{{\mathrm{a}}^{2}}{2{\mathrm{a}}^{2}+\mathrm{bc}}+\frac{{\mathrm{b}}^{2}}{2{\mathrm{b}}^{2}+\mathrm{ca}}+\frac{{\mathrm{c}}^{2}}{2{\mathrm{c}}^{2}+\mathrm{ab}}$

^{4}+5x^{2}+9. Factorize thisFactorise-

n

^{2}+ 2an (a + b) (a - b) plz explain2(x-2y)^2-50y^2