Question

Who will put correct answer i will mark as Brainliest ​

Answer 1

Answer:

3.(i) 4ac

(ii) x^3 + y^3

Step-by-step explanation:

3.(i) (a+b) (c-d) + (a-b) (c+d) + 2 (ac+bd)

= ac-ad+bc-bd+ac+ad-bc-bd+2ac+2bd

= 4ac

3.(ii) (x+y) (x^2 -xy + y^2)

= x^3 + y^3

Answer 2

• Distributive Property -  multiply a sum by multiplying each term separately and then adding the products together.
• It is in the form of a(b + c)

Question:

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

Apply the distributive property:

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

$= ac - ad + bc - bd + ac + ad - bc - bd + 2ac + 2bd$

Combine the like terms:

$= ac + ac + 2ac + ad - ad + bc - bc - bd - bd + 2bd$

$= 4ac$

Answer: 4ac

Question:

$(x + y)(x^2 - xy + y^2)$

Apply the distributive property:

$= x( x^2 - xy + y^2) + y( x^2 - xy + y^2)$

$= x^3 - x^2y + xy^2 + x^2y - xy^2 + y^3$

Combine like terms:

$= x^3 - x^2y + x^2y + xy^2 - xy^2 + y^3$

$= x^3 + y^3$

Answer: x³ + y³