(x + a) (x + b) = x² + (a + b) x + ________

Solution:

(x + a) (x + b) = x² + (a + b) x + ab

Given, (x + a) (x + b)

Using the distributive property,

= (x × x) + ax + bx + (a × b)

= x² + (a + b) x + ab

✦ Try This: Find the product of (z + 2)(z + 3) using the standard identity.

(z + 2)(z + 3), is of the form (x + a) (x + b) = x² + (a + b) x + ab

Here, x = z, a = 2 and b = 3 , substituting the terms in the formula and simplifying

= z² + (2 + 3) z + (2)(3)

= z² + 5z + 6

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 41

(x + a) (x + b) = x² + (a + b) x + ________

Summary:

(x + a) (x + b) = x² + (a + b) x + ab

☛ Related Questions:

• The product of two polynomials is a ________
• Common factor of ax² + bx is __________
• Factorised form of 18mn + 10mnp is ______