Use the formula to expand-4 6-2 q3

We know that (x + y)3 = x3 + 3x2y + 3xy2 + y3. Comparing (6 + 2q)3 with (x + y)3 , we get: x = 6 and y = 2q Substituting these in the above formula: (6 + 2q)3 = ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identities

Use the formu...

Question

Use the formula to expand:

(4) (6 + 2q)³

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Solution

We know that (x + y)³ = x³ + 3x²y + 3xy² + y³.
Comparing (6 + 2q)³ with (x + y)³ , we get:
x = 6 and y = 2q
Substituting these in the above formula:
(6 + 2q)³ = (6)³ + 3 × (6)² × 2q + 3 × 6 × (2q)² + (2q)³
= 216 + 216q + 72q² + 8q²

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Use the formula to expand: (4) (6 + 2q)3

We know that (x + y)3 = x3 + 3x2y + 3xy2 + y3. Comparing (6 + 2q)3 with (x + y)3 , we get: x = 6 and y = 2q Substituting these in the above formula: (6 + 2q)3 = (6)3 + 3 × (6)2 × 2q + 3 × 6 × (2q)2 + (2q)3 = 216 + 216q + 72q2 + 8q2

Use the formula to expand:

(4) (6 + 2q)³

We know that (x + y)³ = x³ + 3x²y + 3xy² + y³.
Comparing (6 + 2q)³ with (x + y)³ , we get:
x = 6 and y = 2q
Substituting these in the above formula:
(6 + 2q)³ = (6)³ + 3 × (6)² × 2q + 3 × 6 × (2q)² + (2q)³
= 216 + 216q + 72q² + 8q²