Use the direct method to evaluate : (ab+x^2) (ab−x^2) - Vidyadip

Question

Use the direct method to evaluate : $(ab+x^2) (ab−x^2)$

✓

Answer

$(a+b) (a−b) $
$= a^2 − b^2(ab+x^2) (ab−x^2) $
$= (ab)^2 − (x^2)^2$
$= a^2b^2 − x^4$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[4 marks sum]" from Identities→Identities — all question types→MATHS STD 8 question papers→ICSE Board STD 8 question papers→ICSE Board question paper generator→

Similar questions

Construct a square, if : each diagonal is $5.7\ cm.$

Solve the following equation : $\frac{3 x}{x+6}-\frac{x}{x+5}=2$

Find the area of the trapezium $ABCD$ in which $AB || DC, AB = 18\ \ cm, \angle B = \angle C = 90^\circ , CD = 12 \ cm$ and $AD = 10 \ cm.$

Rupees $4000$ amount to $Rs.5000$ in $8$ years; in what time will $Rs.2100$ amount to $Rs.2800$ at the same rate?

In a quadrilateral $ABCD, AO$ and $BO$ are bisectors of angle $A$ and angle $B$ respectively . Show that : $\angle AOB = `1/2`$ $(\angle C + \angle D)$

For the following inequation, represent the solution on a number line : $4(3x + 1) > 2(4x - 1), x$ is a negative integer

Solve the following equation : $\frac{a+5}{6}-\frac{a+1}{9}=\frac{a+3}{4}$

A man sells a radio$-$set for $Rs.605$ and gains $10\%$. At what price should he sell another radio of the same kind, in order to gain $16\%$?

Find the amount and the compound interest on ₹ $16,000$ for $3$ years at $5\%$ per annum compounded annually.

A fort had provisions for $450$ soldiers for $40$ days. After $10$ days, $90$ more soldiers come to the fort. Find in how many days will the remaining provisions last at the same rate?