nsomin123 nsomin123

27-04-2019
Mathematics

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If (4x−7)2=ax2+bx+c for all values of x, what is the value of c(b+a)?

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sqdancefan sqdancefan

27-04-2019

Answer:

-1960

Step-by-step explanation:

The expression on the left expands to ...

(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49

Matching coefficients, you have ...

a = 16
b = -56
c = 49

Then the expression c(b+a) evaluates to ...

49(-56+16) = 49(-40) = -1960

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