Find the square of 2x − 3y + z - Vidyadip

Question

Find the square of $2x − 3y + z$

✓

Answer

$(2x − 3y + z)^2 $
$= (2x)^2 + (−3y)^2+ (z)^2 + 2 \times 2x \times −3y + 2(−3y) \times z + 2 \times z \times 2x= 4x^2 + 9y^2+ z^2− 12xy − 6yz + 4zx$

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

Evaluate : $(9a − 7b) (3a − b)$

If $x \in N$, find the solution set of inequation : $-\frac{1}{4} \leq \frac{1}{2}-\frac{x}{3}$

A tape$-$recorder is sold for $Rs. 2,760$ at a gain of $15%$ and a $C.D$. player is sold for $Rs. 3,240$ at a loss of $10%$ Find : $(i)$ the $\text{C.P}.$ of the tape$-$recorder$(ii)$ the $\text{C.P}$. of the $C.D$. player.$(iii)$ the total $\text{C.P}$. of both.$(iv)$ the total $\text{S.P}$. of both $(v)$ the gain $\%$ or the loss $\%$ on the whole

Use the direct method to evaluate : $(0.5a−2a) (0.5+2a)$

By what rational number must $\frac{1}{26}$ be divided to get $\frac{-8}{39}$ ?

Given $A = \{x : \in N :< 6\}, B = \{3, 6, 9\}$ and $C = \{x \in N : 2x - 5 \leq 8\}$. show that : $A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)$

factorise :$16(5x + 4)^2 -9(3x - 2)^2$

A number when decreased by $16\%$ becomes $798$ ; find the number.

The following are the marks obtained by $30$ students in an examination.

$15$	$20$	$8$	$9$	$10$
$16$	$17$	$20$	$24$	$30$
$44$	$47$	$38$	$36$	$40$
$27$	$25$	$28$	$30$	$19$
$7$	$11$	$21$	$31$	$41$
$37$	$47$	$23$	$20$	$17$

Taking class intervals $0-10, 10-20, ……… 40-50$ ; construct a frequency table.

Factorise: $49(x - y)^2 -9(2x + y)^2$