Finding Squares of Numbers

Q. Using identities , evaluate 71 square

Q. Factorize 2a^5-54a^2 using suitable identity

Q. Find the square of 29 using algebraic identity.

1. 851
2. 841
3. 831
4. 821

Q. The value of $(110{)}^2$ is _______

1. 12050
2. 12100
3. 13526
4. 11100

Q.

The value of ${75}^2$ is equal to

1. 5675

2. 5475

3. 5425

4. 5625

Q. What is the figure for the identity

(a+b)the whole square=(a) square + 2ab + (b) square
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Q. The square root of (3a+2b+3c)^2-(2a+3b+2c)^2+5b^2 is

Q.

The value of ${64}^2$ is equal to

1. 4072

2. 4024

3. 4048

4. 4096

Q.

To find the cube of a two-digit number using column method, which of the following identity is used?

1. (a - b)²

2. (a - b)³

3. (a + b)³

4. (a + b)²

Q.

The value of ${\left(10\frac{1}{2}\right)}^2$ is equal to

1. $110\frac{1}{2}$

2. $110\frac{1}{4}$

3. $104\frac{1}{4}$

4. $110\frac{1}{4}$

Q.

The value of ${\left(16\frac{1}{4}\right)}^2$ is equal to

1. $256\frac{1}{16}$

2. $264\frac{1}{16}$

3. $264\frac{1}{8}$

4. $256\frac{1}{8}$

Q. Find the square of 32 using algebraic identity.

1. 1054
2. 1024
3. 1034
4. 1044

Q.

The value of ${46}^2$ is equal to

1. 2216

2. 2196

3. 2016

4. 2116

Q. Find the value of ${4.9}^2$ using a suitable algebraic identity.

1. 24.01

Q. Simplify:
$x^2+9x+18$

1. $(x-6)(x+3)$
2. $(x+18)(x-3$
3. $(x+6)(x+3)$
4. $(x+9)(x+2)$

Q. Use the formula to find the factors.

(5) 216 − 27q³

Q. $53\times 47=$ ___ .

1. 44p

2. 48q

3. 44q

4. 48pq²

Q. Find out the pair which has a larger product without actual multiplication. $(25\times 75,28\times 72)$

1. $28\times 72$
2. Can’t determine
3. $25\times 75$
4. Both have same product

Q. If x=2+root 3 find the valueof:x square minus 1upon x square

Q. Evaluate:
$x(x+y)+8(x+y)$

Q. Q10/10\quad16t^2-3z^2 can be factorised as

Q. Factorise a^4-b^{4 } a^4-2a^2b^2+b^4

Q. a/b+b/a=a+b then the value of a square + b square will be

Q. find the square of 8.7 using identity

Q. Equations that are true for all numbers are called identities.

1. False
2. True

Q. What is (y + 3) x (y - 3), if y = 4?

1. 18
2. -18
3. 7
4. 6

Q. $(x+y)(x-y)(x^2+y^2)=$

1. $x^4-y^4$
2. $x^2-y^4$
3. $x^4-y^2$

Q. find the square using suitable identity (product rules) i} (999)^2