Question

16-4x^2 simplify pls answer it​

Answer 1

Answer:

$16 - 4 {x}^{2}$

$4(4 - {x}^{2} )$

Answer 2

Answer:

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

16 - 22x2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

16 - 4x2 = -4 • (x2 - 4)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : x2 is the square of x1

Factorization is : (x + 2) • (x - 2)

Final result :

-4 • (x + 2) • (x - 2)

hope it's work mark as brilliant