Question

How do you simplify x2+x−62x2⋅2x+8x2+7x+12?

Answer 1

Answer :

$- 124x {}^{3} + 9x {}^{2} + 8x + 12$

Step by step explanation :.

$x {}^{2} + x - 62x {}^{2} \times 2x + 8x {}^{2} + 7x + 12$

Calculate the product. Multiply the numbers.

$= > x {}^{2} + x- 124x {}^{2} \times x + 8x {}^{2} + 7x + 12$

If a term doesn't have an exponent it is considered that the exponent is 1

$= > x {}^{2} + x - 124x {}^{2} \times x {}^{1} + 8x {}^{2} + 7x + 12$

Multiply the terms with the same base by adding their exponents.

$= > x {}^{2} + x - 124x {}^{2 + 1} + 8x {}^{2} + 7x + 12$

Add the numbers

$= > x {}^{2} + x - 124x {}^{3} + 8x {}^{2} + 7x + 12$

Collect the like terms. If a term doesn't have a coefficient it is considered that the coefficient is 1.

$= > 1x { }^{2} + 8x {}^{2} + x - 124x {}^{3} + 7x + 12$

Collect the like terms by adding their coefficients

$= > (1 + 8)x {}^{2} + x - 124x {}^{3} + 7x + 12$

Add the numbers

$= > 9x {}^{2} + x - 124x {}^{3} + 7x + 12$

Collect the like terms.

$= > 9x {}^{2} + 8x - 124x {}^{3} + 12$

Use the commutative property to reorder the terms

$= > - 124x {}^{3} + 9x {}^{2} + 8x + 12$