Use the formula to expand-1 a-b-82

We know that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac. Comparing (a + b + 8)2 with (a + b + c)2 , we get: a = a, b = b and c = 8 Substituting these in the ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Physics

Static Friction

Use the formu...

Question

Use the formula to expand:

(1) (a + b + 8)²

Open in App

Solution

We know that (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac.
Comparing (a + b + 8)² with (a + b + c)² , we get:
a = a, b = b and c = 8
Substituting these in the above formula:
(a + b + 8)² = a² + b² + 8² + 2 × a × b + 2 × b × 8 + 2 × 8 × a
= a² + b² + 64 + 2ab + 16 b + 16a

Suggest Corrections

Use the formula to expand: (1) (a + b + 8)2

We know that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac. Comparing (a + b + 8)2 with (a + b + c)2 , we get: a = a, b = b and c = 8 Substituting these in the above formula: (a + b + 8)2 = a2 + b2 + 82 + 2 × a × b + 2 × b × 8 + 2 × 8 × a = a2 + b2 + 64 + 2ab + 16 b + 16a

Use the formula to expand:

(1) (a + b + 8)²

We know that (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac.
Comparing (a + b + 8)² with (a + b + c)² , we get:
a = a, b = b and c = 8
Substituting these in the above formula:
(a + b + 8)² = a² + b² + 8² + 2 × a × b + 2 × b × 8 + 2 × 8 × a
= a² + b² + 64 + 2ab + 16 b + 16a