Question

simplify: $(5x - 7y + 2) - (-3x - 4y + 4)$
$\bigcirc$ $8x - 11y - 2$
$\bigcirc$ $2x - 11y + 6$
$\bigcirc$ $2x - 3y + 6$
$\bigcirc$ $8x - 3y - 2$
question 26
factor: $16x^2 - 25$
$\bigcirc$ $(16x + 5)(x - 5)$
$\bigcirc$ $(4x - 5)(4x - 5)$
$\bigcirc$ $(4x + 5)(4x + 5)$
$\bigcirc$ $(4x + 5)(4x - 5)$

Explanation:

Step1: Distribute the negative sign

$(5x - 7y + 2) + 3x + 4y - 4$

Step2: Combine like x terms

$5x + 3x = 8x$

Step3: Combine like y terms

$-7y + 4y = -3y$

Step4: Combine constant terms

$2 - 4 = -2$

Step5: Recognize difference of squares

$16x^2 -25 = (4x)^2 - 5^2$

Step6: Apply difference of squares rule

$(a^2 - b^2)=(a+b)(a-b)$, so $(4x+5)(4x-5)$

Answer:

1. $8x - 3y - 2$
2. $(4x + 5)(4x - 5)$