1.

Find the product:(7x + 2y) (x + 4y)

Answer»

(7x + 2y) (x + 4y)

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= 7x, b= 2y, c= x, d= 4y

Now,

= 7x × (x + 4y) +2y × (x + 4y)

= [(7x × x) + (7x × 4y)] + [(2y × x) + (2y × 4y)]

= [7x2 + 28xy + 2yx + 8y2]

= [7x2 + 30xy + 8y2]



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