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: Thegivenexp⁡ressionsarePSK(a+b)2=a2+b2

Question

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:  Thegivenexp⁡ressionsarePSK(a+b)2=a2+b2

Timothy Wolff · Accepted Answer

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 · Accepted Answer

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 · Accepted Answer

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)2≠a2+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.