Q. Find an expression which represents the difference when (−8x−8y) is subtracted from (−x+9y) in simplest terms.Answer:
Distribute subtraction sign: We need to subtract the expression (−8x−8y) from (−x+9y). To do this, we will distribute the subtraction sign across the second expression, effectively changing the signs of its terms before adding it to the first expression.(−x+9y)−(−8x−8y)=(−x+9y)+(8x+8y)
Combine like terms: Now, we combine like terms by adding the coefficients of x together and the coefficients of y together.(−x+8x)+(9y+8y)=7x+17y
Final expression: The expression 7x+17y is already in its simplest form, as there are no like terms left to combine and no further simplification is possible.
More problems from Find trigonometric ratios using multiple identities