CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebraic Identities (a-b)³

Question 2vUs...

Question

Question 2(v)
Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
(2x+5y) ( 2x+3y)

Open in App

Solution

$(2 x + 5 y) (2 x + 3 y) = (2 x)^{2} + (5 y + 3 y) \times 2 x + 5 y \times 3 y$
$= 4 x^{2} + 8 y \times 2 x + 15 y^{2}$ $[U s i n g i d e n t i t y (x + a) (x + b) = x^{2} + (a + b) x + a b]$
$= 4 x^{2} + 16 x y + 15 y^{2}$

Suggest Corrections

thumbs-up

8

Similar questions

Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the given product:

(2 x + 5 y)

(2 x + 3 y)

.

Q. Question 2(v)
Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:
(2x+5y) ( 2x+3y)

Q. Question 2(vi)
Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:

(2 a^{2} + 9) (2 a^{2} + 5)

Question 2(iv)
Use the identity $(x + a) (x + b) = x^{2} + (a + b) x + a b$ to find the following products:
$(4 x + 5) (4 x - 1)$

Q. Find the following products using the identity : (x+a)(x+b)=

x^{2} + (a + b) x + a b .

1. (x+2)(x+3)
2.(x-10)(x+8)
3.(x+15)(x-6)
4. (x+7)(x+7)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Algebraic Identities (a-b)³

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon