CameraIcon

SearchIcon

MyQuestionIcon

1

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

Multiplication of Any Polynomial

Simplify 4 ...

Question

Simplify $(4 x + 3) (4 x + 3) - (3 x + 6) (3 x - 6) - (2 x + 5) (2 x + 5)$

Open in App

Solution

Consider
$(4 x + 3)^{2} - (3 x + 6) (3 x - 6) - (2 x + 5) (2 x + 5)$
$\Rightarrow (4 x + 3)^{2} - (3 x + 6) (3 x - 6) - (2 x + 5)^{2}$
$\Rightarrow 16 x^{2} + 9 + 24 x - 9 x^{2} + 36 - 4 x^{2} - 25 - 20 x$
$\Rightarrow 3 x^{2} + 4 x + 20$

Identities used:
$1. (a + b)^{2} = a^{2} + 2 a b + b^{2}$
$2. a^{2} - b^{2} = (a - b) (a + b)$

Suggest Corrections

thumbs-up

0

Similar questions

7 (4 x + 5) (2 x + 6) \div (4 x + 5)

(4 x^{4} - 3 x^{2} - 7 x + 8)

(5 x^{2} - 2 x - 3)

20 x^{6} - 8 x^{5} - 27 x^{4} - 29 x^{3} + 63 x^{2} + 5 x - 24

(2 x + 5) (2 x - 5)

\frac{2 x + 3}{2} + \frac{4 x - 5}{6} = \frac{x}{3}

5 (2 x + 1) (3 x + 5) \div (2 x + 1)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Multiplication of Algebraic Expressions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of Any Polynomial

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon