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Answers
Answer:
E. 4x³+4x²+6
F. -322x³y³ z⁶
Step-by-step explanation:
E. In question it is given that
P = 4x³+3x²-4x+5
Q = 6x³+5x²+4x-2
R = 6x³-4x²+3
We have to find (P+Q)-R
P+Q = 4x³+3x²-4x+5 + 6x³+5x²+4x-2
Write all the x³ terms together, all x² terms together, all x terms together and all the constants together.
= 4x³+6x³+3x²+5x²-4x+4x+5-2
= 10x³+8x²+3
Now, (P+Q)-R = 10x³+8x²+3 - 6x³-4x²+3
= 4x³+4x²+6
F. We have to multiple -7x²yz³ by 46xy²z³
-7x²yz³ can be written as -7 × x² × y × z³
46xy²z³ can be written as 46 × x × y² × z³
Now, -7 × x² × y × z³ × (46 × x × y² × z³)
= -7 × 46 × x² × x × y × y² × z³ × z³
= -322 × x³ × y³ × z⁶ (If the base is same the powers will be added)
= -322x³y³ z⁶