M l aggarwal understanding icse mathematics class 9 Solutions for Chapter 3 expansions

Exercises in Chapter 3 expansions Grade 9

Expansions Chapter Test

Questions in Expansions Chapter Test

Find the expansions of the following :

(i) (2x + 3y + 5) (2x + 3y – 5)

$\text { Simplify: }(x-2)(x+2)\left(x^{2}+4\right)\left(x^{4}+16\right)$

Evaluate 1002 × 998 by using a special product.

$\text { If } a+2 b+3 c=0, \text { Prove that } a^{3}+8 b^{3}+27 c^{3}=18 \text { abc }$

$\text { If } 2 x=3 y-5, \text { then find the value of } 8 x^{3}-27 y^{3}+90 x y+125$

$\text { If } a^{2}-1 / a^{2}=5, \text { evaluate } a^{4}+1 / a^{4}$

If a + 1/a = p and a – 1/a = q, Find the relation between p and q

$\text { If }\left(a^{2}+1\right) / a=4, \text { find the value of } 2 a^{3}+2 / a^{3}$

If x = 1/(4 - x), find the value of

(i) x + 1/x

$\text { If } x-1 / x=3+2 \sqrt{2}, \text { find } \text { the value of } 1 / 4\left(x^{3}-1 / x^{3}\right)$

$\text { If } x+1 / x=31 / 3, \text { find the value of } x^{3}-1 / x^{3}$

$\text { If } x=2-\sqrt{3}, \text { then find the value of } x^{3}-1 / x^{3}$

If the sum of two numbers is 11 and the sum of their cubes is 737, find the sum of

their squares.

$\text { If } a-b=7 \text { and } a^{3}-b^{3}=133, \text { find: }$

$(i) ab (ii) $a^{2}+b^{2}$$

$\text { Find the coefficient of } \mathbf{x}^{2} \text { expansion of }\left(\mathbf{x}^{2}+\mathbf{x}+\mathbf{1}\right)^{2}+\left(\mathbf{x}^{2}-\mathbf{x}+\mathbf{1}\right)^{2}$

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Chapters in this book

Rational and Irrational Numbers

Compound Interest

Expansions

Factorization

Simultaneous Linear Equations

Problems on Simultaneous Linear Equations

Quadratic Equations

Indices

Logarithms

Triangles

Mid Point Theorem

Pythagoras Theorem

Rectilinear Figures

Theorems on Area

Circle

Mensuration

Trigonometric Ratios

Trigonometric Ratios and Standard Angles

Coordinate Geometry

Statistics