Math, asked by psamriddhi12p5foyj, 10 months ago

PLEASE ANSWER ALL QUESTIONS WITH FULL PROCESS. THE FIRST AND COMPLETE ANSWER WILL BE MARKED AS BRAINLIEST.

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Answered by 117771
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Answer:

Step-by-step explanation:

Solution Steps

4(2x−1)  2 +12(2x−1)+9

Use binomial theorem (a−b) 2 =a  2 −2ab+b  2  to expand (2x−1)  2

4(4x  2  −4x+1)+12(2x−1)+9

Use the distributive property to multiply 4 by 4x   2 −4x+1.  

16x 2 −16x+4+12(2x−1)+9

Use the distributive property to multiply 12 by 2x−1.

16x 2 −16x+4+24x−12+9

Combine −16x and 24x to get 8x.

16x  2 +8x+4−12+9

Subtract 12 from 4 to get −8.

16x  2  +8x−8+9

Add −8 and 9 to get 1.

16x  2 +8x+1

SOLUTION STEPS

2(x−y)  2 −3(x−y)−9

Use binomial theorem (a−b)  2 =a    −2ab+b  2  to expand (x−y) 2  .

2(x  2  −2xy+y 2  )−3(x−y)−9

Use the distributive property to multiply 2 by x  2 −2xy+y  2 .

2x  2 −4xy+2y  2 −3(x−y)−9

Use the distributive property to multiply −3 by x−y

. 2x  2  −4xy+2y  2  −3x+3y−9

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