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}
Facebook
Whatsapp
Copy Link
