1. The algebraic expression for the statement 'twice the square of a number x subtracted from seven times the sum of the numbers y and 2' is please give step to step solution not just the answer
Answers
Answer:
-2x² +7y +14
Step-by-step explanation:
square of a number x = x²-------( 1 )
twice the square of a number x
= twice the (square of a number x )
=twice the x² [from 1]
= 2x² --------( 2)
sum of the numbers y and 2
= y +2 ---------( 3)
seven times the sum of the numbers y and 2
= seven times the( sum of the numbers y and 2)
= seven times the (y+2) [from 3]
= 7(y+2) ----------(4 )
twice the square of a number x subtracted from seven times the sum of the numbers y and 2
=( twice the square of a number x) subtracted from (seven times the sum of the numbers y and 2)
from 2 & 4,
= 2x² subtracted from 7(y+2)
= 7(y+2) -2x²
= 7y +14 -2x²
= -2x² +7y +14
Thus , required algebraic expression is -2x² +7y +14.