Find the product of each of the following:
(a) (3x + 5y + 7)(3x + 5y + 5)
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Now,
let us simplify the given expression
➡(3x – 5y) × (x + y)
➡ (3x – 5y) × (x + y)
➡x(3x – 5y) + y (3x – 5y)
➡3x2 – 5xy + 3xy – 5y2
➡3x2 – 2xy – 5y2
Let us substitute the given values x = – 1 and y
➡ – 2, then
➡ (3x – 5y) × (x + y)
➡ [3 (-1) – 5 (-2)] × [(-1) + (-2)]
➡ (-3+10) × (-1-2)
➡ 7×-3 = -21
Now, ➡3x2 – 2xy – 5y2
➡ 3 (-1)2 – 2 (-1) (-2) – 5 (-2)2
➡3 – 4 – 20 = – 21
∴ The given expression is verified.
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