Find the product:(5x + 7) (3x + 4)

1.	Find the product:(5x + 7) (3x + 4)
Answer» (5x + 7) (3x + 4) 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= 5x, b= 7, c= 3x, d= 4 Now, = 5x × (3x + 4) +7 × (3x + 4) = [(5x × 3x) + (5x × 4)] + [(7 × 3x) + (7 × 4)] = [15x² + 20x + 21x + 28] = [15x² + 41x + 28]

Answer»

(5x + 7) (3x + 4)

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= 5x, b= 7, c= 3x, d= 4

Now,

= 5x × (3x + 4) +7 × (3x + 4)

= [(5x × 3x) + (5x × 4)] + [(7 × 3x) + (7 × 4)]

= [15x² + 20x + 21x + 28]

= [15x² + 41x + 28]

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Find the product:(5x + 7) (3x + 4)

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