1.

Find the product:(4x – 3) (2x + 5)

Answer»

(4x – 3) (2x + 5)

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= 4x, b= 3, c= 2x, d= 5

Now,

= 4x × (2x + 5) -3 × (2x + 5)

= [(4x × 2x) + (4x × 5)] – [(3 × 2x) + (3 × 5)]

= [8x2 + 20x – 6x – 15]

= [8x2 + 14x – 15]



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