Question
Evaluate $\left\{(83)^2-(17)^2\right\}$
✓
Answer
$(83)^2-(17)^2$
$=(83+17)(83-17)\left[\right.$ according to the formula $\left.(a)^2-(b)^2=(a+b)(a-b)\right]$
$=(100)(66)$
$=6600$
$=(83+17)(83-17)\left[\right.$ according to the formula $\left.(a)^2-(b)^2=(a+b)(a-b)\right]$
$=(100)(66)$
$=6600$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Factories:
$x^2- 11x - 42$
→$x^2- 11x - 42$
Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure $A$ is a combination of $2$ pipes each having a radius of $8\ cm$. Figure $B$ is a pipe having a radius of $15\ cm$. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?
→Making use of the cube root table, find the cube root $7800$
→Find the smallest number by which the given number must bew multiplied so that the product is a perfect square: $7688$
→A housing society consisting of $5,500$ people needs $100L$ of water per person per day. The cylindrical supply tank is $7\ m$ high and has a diameter $10\ m$. For how many days will the water in the tank last for the society?
→Divide $6 x^3-x^2-10 x-3$ by $2 x-3$ and find the quotient and remainder.
→A farmer has enough food to feed $28$ animals in his cattle for $9$ days. How long would the food last, if there were $8$ more animals in his cattle?
→If x denotes the digit at hundreds place of the number $\overline{67\text{x}19}$ such that the number is divisible by $11.$ Find all possible values of $x.$
→The railway fare for $61\ km$ is $Rs. 183$. Find the fare for $53\ km$.
→Factorise the expressions.
(i) $a x^2+b x$
(ii) $7 p^2+21 q^2$
(iii) $2 x^3+2 x y^2+2 x z^2$
(iv) $a m^2+b m^2+b n^2+a n^2$
(v) $(l m+l)+m+1$
(vi) $y(y+z)+9(y+z)$
(vii) $5 y^2-20 y-8 z+2 y z$
(viii) $10 a b+4 a+5 b+2$
(ix) $6 x y-4 y+6-9 x$
→(i) $a x^2+b x$
(ii) $7 p^2+21 q^2$
(iii) $2 x^3+2 x y^2+2 x z^2$
(iv) $a m^2+b m^2+b n^2+a n^2$
(v) $(l m+l)+m+1$
(vi) $y(y+z)+9(y+z)$
(vii) $5 y^2-20 y-8 z+2 y z$
(viii) $10 a b+4 a+5 b+2$
(ix) $6 x y-4 y+6-9 x$