Perfect Square Trinomials

Q.

Factorize : $x^4+x^2+25.$

Q. Factorise $x^2+\frac{1}{x^2}-11$

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

Q.

The factors of $2y^3+10y^2-48y$ are:

1. $2y(y-3)(y+8)$

2. $2y(y+3)(y+8)$

3. $2y(y-3)(y-8)$

4. None of these

Q.

Factorize:

$7(x-2y{)}^2-25(x-2y)+12$

Q.

Factorize:

$9(2a-b{)}^2-4(2a-b)-13$

Q. Factorise: $x^3+13x^2+32x+20$.

Q. Factorization of $x^2-10x+25$ is equal to

1. $(x+5{)}^2$
2. $(x-5{)}^2$
3. $(x-5{)}^2$
4. $(x+25{)}^2$

Q. Factorize: $1-2a-2b-3(a+b{)}^2$

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

Q. Factorize: $12a^2+60ab+75b^2$

1. $3(2a+5b)(2a+5b)$
2. $(2a+5b)(2a+5b)$
3. $6(2a+5b)(2a+5b)$
4. $12(2a+5b)(2a+5b)$

Q. Factorize: $(2a+b{)}^2-6a-3b-4$

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

Q. Factorize :

1. $(a-b)(5a-b+7)$
2. $(a+b)(5a+b+7)$
3. $(a-b)(5a+b+7)$
4. none of the above

Q. Factorization: $(a+b{)}^2-2(a^2-b^2)+(a-b{)}^2$

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

Q. Factorize: $x^2+3x+2+ax+2a$

1. $(x+2)(x+1+a)$
2. $(x+a)(x+1+a)$
3. $(x+1)(x+1+a)$
4. $(x+1)(x+2+a)$

Q. Factorise: $5(a+b{)}^2+10(a^2-b^2)+5(a-b{)}^2$

1. $5a^2$
2. $20b^2$
3. $20a^2$
4. $4a^2$

Q.

Factorize:

$2(x+y{)}^2-9(x+y)-5$

Q. Factorize: $7a^2+14+\frac{7}{a^2}$

1. $7(a+\frac{7}{a}{)}^2$
2. $(a+\frac{1}{a}{)}^2$
3. $49(a+\frac{1}{a}{)}^2$
4. $7(a+\frac{1}{a}{)}^2$

Q. Factorize: $a^2-2+\frac{1}{a^2}$

1. $(a-\frac{1}{a}{)}^2$
2. $(a-\frac{1}{2a}{)}^2$
3. $(a-\frac{2}{a}{)}^2$
4. $(a+\frac{1}{a}{)}^2$

Q. If the factorized form of $x^3+3x^2-9x+5$ is $(x-1)(x^2+ax-5)$. Find $a$

Q. Factor the trinomial: $3x^2-4x-4$

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

Q. $24a^3+37a^2-5a$

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

Q. Factorize :

1. $(a^2-a+5)(a+2)(a+1)$
2. $(a^3-3a+5)(a+2)(a-1)$
3. $(a^2-3a+5)(a-2)(a-1)$
4. $(a^3-3a+5)(a-2)(a+1)$

Q. Factorize: $48a^2+24+\frac{1}{48a^2}$

1. $6(2a+\frac{1}{2a}{)}^2$
2. $4(3a+\frac{1}{3a}{)}^2$
3. $12(2a+\frac{1}{2a}{)}^2$
4. $4(3a+\frac{1}{3a}{)}^2$

Q. Factorise $4a^2+4ab+b^2$ .

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

Q. Factorize: $a^2+10a+24$

1. $(a+6)(a-4)$
2. $(a-6)(a+4)$
3. $(a-6)(a-4)$
4. $(a+6)(a+4)$

Q. Factorize: $x^3-5x^2-2x+24$.

Q.

Identify the terms and their factors:

$3x+y^2$

Q. Factors of $12-x-x^2$ are:

1. $(x+2)(x-3)$
2. $(x+4)(3-x)$
3. None of these
4. $(x-2)(x-3)$

Q. The factors of $x^2+4y^2+4y-4xy-2x-8$ are

1. $(x-2y-4)(x-2y+2)$
2. $(x-y+2)(x-4y-4)$
3. $(x+2y-4)(x+2y+2)$
4. none of these

Q. $4a^2-12a+9-49b^2$

1. $(2a+7b-3)(8a-7b-3)$
2. $(2a-7b-3)(8a-7b+3)$
3. $(2a+7b-3)(2a-7b-3)$
4. $(2a-7b-3)(2a-7b+3)$