Rational and Irrational Numbers
Factorization
Simultaneous Linear Equations
Problems on Simultaneous Linear Equations
Mid Point Theorem
Pythagoras Theorem
Rectilinear Figures
Theorems on Area
Trigonometric Ratios
Trigonometric Ratios and Standard Angles
Home > Ml aggarwal solutions Class 9 Mathematics > Chapter 3 expansions
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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