(x + a)(x +b)= x^2 + x(a+ b) + ab

Q.

Which of the following are the factors of $x^2+14x+49$?

1. 1

2. a+2

3. a+1

4. 2

Q. Using suitable identity, evaluate $52\times 53.$

1. 2750
2. 2550
3. 2756
4. 2556

Q.

Using suitable identities, evaluate $497\times 505$.

1. $250190$
2. $250998$
3. $250985$
4. $259085$

Q. What is the area of a rectangle with length $(x+2)cm$ and breadth $(x+6)cm$?

1. $(x^3+8x+12)c{m}^2$
2. $(x^2+8x+6)c{m}^2$
3. $(x^2+6x+12)c{m}^2$
4. $(x^2+8x+12)c{m}^2$

Q. If the adjacent sides of a rectangle are $(x^2-x+2)$ units and $(x^2+x-2)$ units long, find the area of the rectangle.

Q. Sir I am not able to understand factorisation of algebra pls send the notes or explain it to me pls

Q. The value of $24\times 26$ is

1. $200+24+400$
2. $24\times 400+200$
3. $40000+20+24$
4. $40000+200+24$

Q.

Factorize:

$a^2-32ab-105b^2$ [2 Mark]

Q.

Simplify $(xy+yz{)}^2$$-2$ $x^2$ $y^2$z. Find the value when $x=-1,y=1$ and $z=2$.

1. 3

2. 4

3. 0

4. -3

Q.

Determine the formula for $a^2+b^2+c^2$

Q.

Simplify $(xy+yz{)}^2-2x^2{y}^{2}z.$
Find the value when $x=-1,y=1$ and $z=2$.

1. 3

2. 4

3. -3

4. 0

Q. Divide $(3y+12b)(5a-b)$by $(y+4b)(25a^2-b^2)$

1. $\frac{5}{3a+b}$
2. $=\frac{3}{5a-b}$
3. $\frac{3}{5a+b}$
4. $=\frac{3}{a+5b}$

Q.

One of the factors of $4x^2-36$ is:

1. x+3

2. x-3

3. x+5

4. x - 15

Q. Solve the equation $4\left(x^2+\frac{1}{x^2}\right)+8\left(x-\frac{1}{x}\right)-29=0$

Q. Find the value of the following expression, when $x=-1$.
$2x^2-x-2$.

Q. Which of the following is equal to the following expression:
$x^2+13x+40$

1. $(x+5)(x-8)$
2. $(x+5)(x+8)$
3. $(x-5)(x+8)$
4. $(x-5)(x-8)$

Q. Solve the equations:
$6x^4-13x^3-35x^2-x+3=0$, one root being $2-\sqrt{3}$.

Q. $\text{Evaluate}(z+12)(z+10).$

1. $z^2+120z+22$
2. $z^2+22z+120$
3. $z+22z+120$
4. $z^2+11z+120$

Q.

Substituting $x=-3$ in $x^2-5x$ gives ___

Q. $\text{Solve:}(7+p)(8+p)$

1. $p^2+15p$
2. $p^2+15p+56$
3. $p^2+15p+15$
4. $p^2+56p+56$

Q. Use the suitable identities to find the product of $(x-2)(x+2)$

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

Q. What is an identity ?

Q. Find the value of (1 + 4) x ( 1 + 5).

1. 30
2. 15
3. 25
4. 29

Q. Find the value of $2a^2-a+7,$ if $x^4+2a{x}^2-9=15$ when $x=2$.

1. 8
2. 6
3. 5
4. 10

Q. The number of pairs (x , y) which will satisfy the equation
$x^2-xy+y^2=4(x+y-4),$is

1. 1
2. 2
3. 4
4. None of these

Q.

Add the following: a(a+b), b(b+c), c(a+c) and $a^2$ + $b^2$ + $c^2$

1. + ab + + bc + + ac
2. + ab + + bc + + ac
3. + 4ab + + 4bc + + 4ac
4. + 2ab + + bc + + ac

Q. What kind of identity is used for the expression $(x+y)(x^2-xy+y^2)$?

1. $(x+y{)}^2$
2. $(x^2+1{)}^2$
3. $x^3+y^3$
4. $x(-y+1{)}^2$

Q. Which of the following is a standard identity?

1. $(a+b)(a-b)=a^2-2$
2. $(a+b)(a-b)=a^2-b^2$
3. $(a+b)(a-b)=b^2-2$
4. $(a+b)(a-b)=1$

Q. What is the area of a rectangle with length $(x+2)cm$ and breadth $(x+6)cm$?

1. $(x^3+8x+12)c{m}^2$
2. $(x^2+8x+6)c{m}^2$
3. $(x^2+6x+12)c{m}^2$
4. $(x^2+8x+12)c{m}^2$

Q. When multiplying $x+a$ and $x+b$, we get $x^2+(a+b)x+ab$.

1. True
2. False