Question

multiply (4x-5y) *(4x-5y)​

Answer 1

Answer:

(4x+5y)(4x−5y)=(4x)2−(5y)2

=16x2−25y2

Step-by-step explanation:

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Answer 2

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$\sf (4x - 5y) \times (4x - 5y)$

This equation can be multiplied by two ways :

1. Using the identity :

$\sf (a - b) \times (a - b) \\ \sf = {a}^{2} - 2ab + {b}^{2}$

2. By multiplying as usual

1. By using the identity :

$\sf (4x - 5y) \times (4x - 5y) \\ \sf = {(4x)}^{2} - 2(4x)(5y) + {(5y)}^{2} \\ \sf = 16 {x}^{2} - 40xy + 25 {y}^{2}$

2. By multiplying as usual :

$\sf (4x - 5y) \times (4x - 5y) \\ \sf = (4x \times 4x) + (4x \times - 5y) + ( - 5y \times 4x) + ( - 5y \times - 5y) \\ \sf = 16 {x}^{2} + ( - 20xy) + ( - 20xy) + 25 {y}^{2} \\ \sf = 16 {x}^{2} - 40xy + 25 {y}^{2}$

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