Simplify the expressions and find the value if x = -4.
b) - (5x^2 + 7x^3 - 8)/4 + (2x^3 + 8x^2 + 9)/3
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Given :
- (5x^2 + 7x^3 - 8)/4 + (2x^3 + 8x^2 + 9)/3
To find :
- the value
Solution :
(5x^2 + 7x^3 - 8)/4 + (2x^3 + 8x^2 + 9)/3
- Let's write the value of x in the places where we are supposed.
= (5 × -4^2 + 7 × -4^3 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= (-20^2 + 7 × -4^3 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= (-400 + 7 × -4^3 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= (-393 × -4^3 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= (1572^3 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= (3884701248 - 8)/4 + (2 -4^3 + 8-4^2 + 9)/3
= 3884701240/4 + (2 -4^3 + 8-4^2 + 9)/3
= 971175310 + (2 - 4^3 + 8-4^2 + 9)/3
= 971175310 + (-2^3 + 8-4^2 + 9)/3
= 971175310 + (-8 + 8-4^2 + 9)/3
= 971175310 + (0-4^2+ 9)/3
= 971175310 + (-16 + 9)/3
= 971175310 + (-7)/3
= 971175303/3
= 323725101
Therefore, the value of the following expression is 323725101.
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