Multiplication of Binomials

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.

1. $(x^4-5x^3-x^2)$ square units
2. $(x^4-x^3-4x^2+4)$ square units
3. $(x^4-x^3-x^2-4x)$ square units
4. $(x^4-x^2+4x-4)$ square units

Q.

y is inversly proportional to $x^2$.
Given that y = 2.5 when x = 24. Write the expresion for y in terms of x.Also find the value of x when y=1.6

Q. $5x\times (-4yz)\times 3xz$ =.

1. $-60x^{2}y{z}^2$
2. $-60xyz$
3. $-60x{y}^{2}z$

Q.

Using the identities of algebraic expressions, Find the value of ${\left(4.9\right)}^2$.

1. 25

2. 24

3. 24.25

4. 24.01

Q.

The product of (6x-4y) and (2x-7y) is

1. $12x^2$ + $28y^2$ - $25xy$

2. $12x^2$ + $28y^2$ - $100xy$

3. $24x^2$ + $28y^2$ - $50xy$

4. $12x^2$ + $28y^2$ - $50xy$

Q. Calculate the value of $26\times 32$ using binomial multiplication.

Q.

Coefficient of 'b' in the expression $6b^2$ is ___.

1. b

2. 2

3. 0

4. 6

Q. Factorise $x^2+4x+4$.

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

Q. Take four consecutive natural numbers, what is the relation between the products of the first and the last, and the product of the middle two?

Q. Subtract $5x-2x^2$ from $3x+7x^2$.

1. - 3x

2. 11x² − 5x

3. 11x²

4. 11x² − 3x

Q.

The value of the given expression using multiplication identities will be equal to

$35\times 64+6\frac{2}{3}\times 12\times \frac{1}{2}$

1. $3232\frac{1}{6}$

2. $2323\frac{1}{3}$

3. $3232\frac{1}{3}$

4. $2323\frac{1}{6}$

Q. Factorise $x^2+8x+16$.

1. $(x+4)(x+4)$
2. $(x+2)(x+4)$
3. $(x+4)(x+6)$
4. $(x+8)(x+2)$

Q.

The value of $12\frac{1}{4}\times 8\frac{1}{2}$ calculated using binomial multiplication is

1. $104\frac{1}{8}$

2. $108\frac{1}{4}$

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

4. $108\frac{1}{8}$

Q. Compute the value of ${\left(16\frac{1}{4}\right)}^2$.

Q.

The value of ${\left(12\frac{1}{2}\right)}^2$ is equal to

1. $158\frac{1}{4}$

2. $156\frac{1}{4}$

3. $154\frac{1}{4}$

4. $152\frac{1}{4}$

Q. The area (in sq. units) of the given figure is expressed as:

1. $2n+1$
2. $n+2n$
3. $n^2+n$
4. $n^2+2n$

Q.

The product of (8x-4y) and (2x-9y) is

1. $16x^2+36y^2-40xy$

2. $16x^2+36y^2-80xy$

3. $16x^2+36y^2-160xy$

4. $32x^2+36y^2-80xy$

Q.

The value of $6\frac{1}{2}\times 16\frac{1}{3}$ calculated using binomial multiplication is

1. $106\frac{1}{6}$

2. $108\frac{1}{6}$

3. $104\frac{1}{6}$

4. $102\frac{1}{6}$

Q. The product of $(7x-4y)$ and $(3x-7y)$ is .

1. $21x^2+28y^2+61xy$
2. $21x^2-28y^2-61xy$
3. $21x^2+28y^2-61xy$
4. $21x^2+28y^2-37xy$

Q. Two squares, one of side length "k" cm and the other of side length "y" cm, are combined with two identical rectangles to form a new square. If the side length of the new square is "y + k" cm, what could be the dimensions of the rectangles?

1. "k" cm, "2y" cm
2. "k" cm, "y" cm
3. "3k" cm, "y" cm
4. "k" cm, "3y" cm

Q.

The value of $12\frac{1}{2}\times 8\frac{1}{3}$ calculated using binomial multiplication is

1. $108\frac{1}{6}$

2. $94\frac{1}{6}$

3. $104\frac{1}{6}$

4. $96\frac{1}{6}$

Q.

The value of $24\times 76$ is calculated using binomial multiplication is

1. 1924

2. 1848

3. 1876

4. 1824

Q.

The value of $26\times 32$ calculated using binomial multiplication is

1. 864

2. 848

3. 832

4. 816

Q.

(2x + 4)(2x + 8) =

1. 4$x^2$ +12$x$ +32

2. 2$x^2$ +24$x$ +32

3. 4$x^2$ +24$x$ +32

4. 4$x^2$ +24$x$ +16

Q.

The value of $54\times 68$ calculated using binomial multiplication is

1. $3472$

2. $3632$

3. $3692$

4. $3672$

Q. Subtract: $3l(l+4m+5n)$ from $4l(10n+3m+2l)$

1. $5l^2+25lm$
2. $5l^2+25ln+24lm$
3. $5l^2+25ln$
4. $5l+25ln+24lm$

Q.

The value of $6\frac{1}{2}\times 8\frac{1}{3}$ calculated using binomial multiplication is

1. $56\frac{1}{4}$

2. $56\frac{1}{6}$

3. $54\frac{1}{6}$

4. $54\frac{1}{4}$

Q.

The value of ${\left(15\frac{1}{3}\right)}^2$ is equal to

1. $225\frac{1}{9}$

2. $255\frac{1}{9}$

3. $235\frac{1}{9}$

4. $245\frac{1}{9}$

Q.

The value of $10\frac{1}{2}\times 16\frac{1}{5}$ calculated using binomial expansion is

1. $170\frac{1}{5}$

2. $170\frac{1}{10}$

3. $180\frac{1}{10}$

4. $180\frac{1}{5}$

Q.

Find the value of $4^{\frac{1}{2}}+{64}^{\frac{2}{3}}$.

1. 2.16 ×

2. 2.16 ×

3. 216 × 100000

4. 216 ×