Find the product:(x – 6) (4x + 9)

1.	Find the product:(x – 6) (4x + 9)
Answer» (x – 6) (4x + 9) Suppose (a – b) and (c + d) are two binomials. By using the distributive law of multiplication over addition twice, we may find their product as given below. (a – b) × (c + d) = a × (c + d) – b × (c + d) = (a × c + a × d) – (b × c + b × d) = ac + ad – bc – bd Let, a= x, b= 6, c= 24x, d= 9 Now, = x × (4x + 9) -6 × (4x + 5) = [(x × 4x) + (x × 9)] – [(6 × 4x) + (6 × 9)] = [4x² + 9x – 24x – 54] = [4x² – 15x – 54]

Answer»

(x – 6) (4x + 9)

Suppose (a – b) and (c + d) are two binomials. By using the distributive law of multiplication over addition twice, we may find their product as given below.

(a – b) × (c + d) = a × (c + d) – b × (c + d) = (a × c + a × d) – (b × c + b × d)

= ac + ad – bc – bd

Let,

a= x, b= 6, c= 24x, d= 9

Now,

= x × (4x + 9) -6 × (4x + 5)

= [(x × 4x) + (x × 9)] – [(6 × 4x) + (6 × 9)]

= [4x² + 9x – 24x – 54]

= [4x² – 15x – 54]

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Find the product:(x – 6) (4x + 9)

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