Question

(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)



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Answer 1

Let's simplify step-by-step.

$(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)$

Distribute:

$\rightarrow (a)(c)+(a)(-d)+(b)(c)+(b)(-d)+(a)(c)+(a)(d)+(-b)(c)+(-b)(d)+(2)(ac)+(2)(bd)$

$\rightarrow ac+-ad+bc+-bd+ac+ad+-bc+-bd+2ac+2bd$

Combine Like Terms:

$\rightarrow ac+-ad+bc+-bd+ac+ad+-bc+-bd+2ac+2bd$

$\rightarrow (ac+ac+2ac)+(-ad+ad)+(bc+-bc)+(-bd+-bd+2bd)$

$\rightarrow 4ac$

∴ $(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)=4ac$

Additional Information :)

What is an equation?

A mathematical statement that says that two things are equal is known as an equation.

What are the parts of equation?

An equation consists of a variable, constants and coefficient.

What is a Polynomial?

An equation that can consist of constants, variables and exponents are known as Polynomial.

What are Monomial, Binomial, Trinomial?

A monomial consists of 1 term. A binomial consists of 2 terms. A trinomial consists of 3 terms.

What are like terms?

Terms whose variables are equal are known as like terms.

Answer 2

Answer:

Hello sis..

--> (a+b)(c-d)+(a-b)(c+d)+2(ac+bd)

--> ac-ad+bc-bd+ac+ad-bc-bd+2ac+2bd

--> 2ac-2bd+2ac+2bd

--> 4ac ans.

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Step-by-step explanation:

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