Use the formula to expand-1 p-53

We know that (x + y)3 = x3 + 3x2y + 3xy2 + y3 . Comparing (p + 5)3 with (x + y)3 , we get: x = p and y = 5 Substituting these in the above formula: (p + 5)3 = p ...

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

Byju's Answer

Standard VIII

Mathematics

Expansion of (x^2 - y^2)

Use the formu...

Question

Use the formula to expand:

(1) (p + 5)³

Open in App

Solution

We know that (x + y)³ = x³ + 3x²y + 3xy² + y³ .
Comparing (p + 5)³ with (x + y)³ , we get:
x = p and y = 5
Substituting these in the above formula:
(p + 5)³ = p³ + 3 × p² × 5 + 3 × p ×5² + 5³
= p³ + 15p² + 75p + 125

Suggest Corrections

Use the formula to expand: (1) (p + 5)3

We know that (x + y)3 = x3 + 3x2y + 3xy2 + y3 . Comparing (p + 5)3 with (x + y)3 , we get: x = p and y = 5 Substituting these in the above formula: (p + 5)3 = p3 + 3 × p2 × 5 + 3 × p ×52 + 53 = p3 + 15p2 + 75p + 125

Use the formula to expand:

(1) (p + 5)³

We know that (x + y)³ = x³ + 3x²y + 3xy² + y³ .
Comparing (p + 5)³ with (x + y)³ , we get:
x = p and y = 5
Substituting these in the above formula:
(p + 5)³ = p³ + 3 × p² × 5 + 3 × p ×5² + 5³
= p³ + 15p² + 75p + 125