Factor completely: (8x-9)^(2)-(x+5)^(2) Answer:

Recognize as difference of squares: Recognize the given expression as a difference of squares. The expression (8x-9)² - (x+5)² is a difference of squares because it is in the form of a² - b², where a = (8x-9) and b = (x+5).Apply formula: Apply the difference of squares formula. The difference of squares formula is a² - b² = (a - b)(a + b). We apply this to our expression where a = (8x-9) and b = (x+5).Substitute values: Substitute the values of a and b into the formula. Using the values of a and b, we get ((8x-9) - (x+5))((8x-9) + (x+5)).Simplify expressions: Simplify the expressions inside the parentheses. First, we simplify the left set of parentheses: (8x-9) - (x+5) = 8x - 9 - x - 5 = 7x - 14. Then, we simplify the right set of parentheses: (8x-9) + (x+5) = 8x - 9 + x + 5 = 9x - 4.Write final form: Write the final factored form. The factored form of the expression is (7x - 14)(9x - 4).

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Factor completely:

(8x-9)^(2)-(x+5)^(2)
Answer:

Factor completely: $\newline$ $(8 x-9)^{2}-(x+5)^{2}$ $\newline$ Answer:

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Grade 6

Factor numerical expressions using the distributive property

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Q. Factor completely:

\newline

(8 x-9)^{2}-(x+5)^{2}

\newline

Answer:

Recognize as difference of squares: Recognize the given expression as a difference of squares. $\newline$ The expression $(8x-9)^2 - (x+5)^2$ is a difference of squares because it is in the form of $a^2 - b^2$ , where $a = (8x-9)$ and $b = (x+5)$ .
Apply formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . We apply this to our expression where $a = (8x-9)$ and $b = (x+5)$ .
Substitute values: Substitute the values of $a$ and $b$ into the formula. $\newline$ Using the values of $a$ and $b$ , we get $((8x-9) - (x+5))((8x-9) + (x+5))$ .
Simplify expressions: Simplify the expressions inside the parentheses. $\newline$ First, we simplify the left set of parentheses: $(8x-9) - (x+5) = 8x - 9 - x - 5 = 7x - 14$ . $\newline$ Then, we simplify the right set of parentheses: $(8x-9) + (x+5) = 8x - 9 + x + 5 = 9x - 4$ .
Write final form: Write the final factored form. $\newline$ The factored form of the expression is $(7x - 14)(9x - 4)$ .