Find the product:(9x + 5y) (4x + 3y)

1.	Find the product:(9x + 5y) (4x + 3y)
Answer» (9x + 5y) (4x + 3y) 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= 9x, b= 5y, c= 4x, d= 3y Now, = 9x × (4x + 3y) +5y × (4x + 3y) = [(9x × 4x) + (9x × 3y)] + [(5y × 4x) + (5y × 3y)] = [36x² + 27xy + 20yx + 15y²] = [36x² + 47xy + 15y²]

Answer»

(9x + 5y) (4x + 3y)

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= 9x, b= 5y, c= 4x, d= 3y

Now,

= 9x × (4x + 3y) +5y × (4x + 3y)

= [(9x × 4x) + (9x × 3y)] + [(5y × 4x) + (5y × 3y)]

= [36x² + 27xy + 20yx + 15y²]

= [36x² + 47xy + 15y²]

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Find the product:(9x + 5y) (4x + 3y)

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