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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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