Math, asked by jaidevsingh918, 3 months ago

(a^2+b^2)(c-d)(a-2b) please solve it till end.​

Answers

Answered by shalakagharat202074
5

Answer: a2 - 2ab + b2 - c2 + 2cd - d2

Step-by-step explanation: Step 1 :

1.1     Evaluate :  (a-b)2   =    a2-2ab+b2

1.2     Evaluate :  (c-d)2   =    c2-2cd+d2

Trying to factor by pulling out :

1.3      Factoring:  a2-2ab+b2-c2+2cd-d2

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  2cd-c2

Group 2:  -2ab+a2

Group 3:  b2-d2

Pull out from each group separately :

Group 1:   (c-2d) • (-c)

Group 2:   (a-2b) • (a)

Group 3:   (b2-d2) • (1)

Looking for common sub-expressions :

Group 1:   (c-2d) • (-c)

Group 3:   (b2-d2) • (1)

Group 2:   (a-2b) • (a)

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Answered by mihirbhagat1887mk
7

Answer:

a³c - 2a²bc - a³d + 2a²bd + ab²c - 2b³c - ab²d + 2b³d

Step-by-step explanation:

(a² + b²)(c - d)(a - 2b)

= (a² + b²){c(a - 2b) - d(a - 2b)}

= (a² + b²){ac - 2bc - ad + 2bd}

= a²(ac - 2bc - ad + 2bd) + b²(ac - 2bc - ad + 2bd)

= a³c - 2a²bc - a³d + 2a²bd + ab²c - 2b³c - ab²d + 2b³d

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