Find the value of the given expressions a) (2+3)2; 22+32 b) (8+10)2; 82+102 c) Check...

chezmarylou1i

chezmarylou1i

Answered

2021-12-21

Find the value of the given expressions
a) (2+3)2;
22+32
b) (8+10)2;
82+102
c) Check whether the given statement is true or false:
ThegivenexpressionsarePSK(a+b)2=a2+b2

Answer & Explanation

Timothy Wolff

Timothy Wolff

Expert

2021-12-22Added 26 answers

Step 1
a) Given: (2+3)2;
22+32
USe algebraic identity
(x+y)2=x2+2xy+y2
(2+3)2
=22+2×2×3+32
=4+12+9
=25
Step 2
And 22+32
=4+9
=13
Hence thevalue of the expression (2+3)2 is 25 and 22+32 is 13
Mary Goodson

Mary Goodson

Expert

2021-12-23Added 37 answers

Step 1
b) Given:
(8+10)2
82+102
Use algebraic identity
(x+y)2=x2+2xy+y2
(8+10)2
=82+2×8×10+102
=64+160+100
=342
Step 2
And
82+102
=64+100
=164
Hence the value of the expression (8+10)2 is 324 and 82+102 is 164
nick1337

nick1337

Expert

2021-12-28Added 573 answers

Step 1
c) Given: (a+b)2=a2+b2
Use algebraic identity
(x+y)2=x2+2xy+y2(a+b)2=a2+2ab+b2a2+b2=a2+b2(a+b)2a2+b2
Step 2
(8+10)2
=82+2×8×10+102
=64+160+100
=324
And
82=102=64+100=164
Hence the given relation is not true.

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