Question

(1) 50x^2 – 2(x - 2)^2​

Answer 1

Answer:

$50 {x}^{2} - 2(x - 2) {}^{2} \\ \\ = 51 {x}^{2} - 2(x {}^{2} - 4x + 4) \\ = 50 {x}^{2} - 2 {x}^{2} + 4x - 4 \\ = 48 {x}^{2} + 4x - 4 \\ \\ = = 4(12x {}^{2} + x - 1)$

Answer 2

Step-by-step explanation:

50x² - 2(x-2)²

50x² - 2(x²+2²+2×x×2). { a-b }²

50x² - 2x² - 8 - 8x

48x² - 8x - 8

By middle term spilliting:-

48x² - 16x + 24x - 8

16x ( 3x - 1) + 8(3x - 1)

(16x + 8 ) (3x - 1 )

3x - 1 = 0

3x= 1

x = 1/3

16x + 8 = 0

16x = -8

x= -1/2

So x has two values -1/2 and 1/3

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