Table of Contents
How do you solve 8x 3 27 2x?
Subtract 3 from both the sides. Subtract 2x from both the sides. Divide by 6 on both the sides.
What factoring technique you have to use to solve for the factors of 8x 3 27?
So, we have: Solution: To simplify the expression, we have to use the sum of cubes formula x3+y3=(x+y)(x2−xy+y2) x 3 + y 3 = ( x + y ) ( x 2 − x y + y 2 ) . Therefore, the factored form of the given expression is (2x+3)(4×2−6x+9) ( 2 x + 3 ) ( 4 x 2 − 6 x + 9 ) .
What is linear equation in one variable in math?
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. The solution set consists of all values that make the equation true. For this equation, the solution set is all real numbers because any real number substituted for x will make the equation true.
What is the answer to 2x 3 7?
2 x + 3 = 7 2x+3=7 2x+3=7. Subtract 3 from both sides. Simplify 7 − 3 7-3 7−3 to 4. Divide both sides by 2.
What is the factor of x³ 27?
Algebra Examples Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=x and b=3 .
What is 64 p6 factor?
Trying to factor by splitting the middle term The first term is, p2 its coefficient is 1 . The middle term is, +2p its coefficient is 2 . Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 2 .
What factoring technique you have to use to solve for the factors of 27×3 343?
2 Answers
- 27×3+343 is a sum of cubes and factorises, in general, as follows.
- ⇒27×3+343=(3x+7)(9×2−21x+49)
- solve : 3x+7=0⇒x=−73.
- solve : 9×2−21x+49=0.
- The only real solution is therefore x=−73.
What is the factored form of 8x³ 27?
Algebra Examples Rewrite 8×3 8 x 3 as (2x)3 ( 2 x ) 3 . Rewrite 27 as 33 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=3 . Simplify.