Question

please solve this question (4x-5) (4x-6)​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

16x² - 44x + 30

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

$\textbf{\small{\underline{Method I}}}$

$\boxed{\sf{(4x-5)(4x-6)}}$

Multiply each term in the first parenthesis by each term in the second parenthesis.

$\longrightarrow$ (4x-5)(4x-6)

$\longrightarrow$ 4x × 4x + 4x × (- 6) - 5 × 4x -5 × (- 6)

Calculate the product

$\longrightarrow$ 16x² - 24x - 20x + 30

Collect the Like Terms.

$\longrightarrow$ 16x² - 44x + 30

(4x-5)(4x-6) = 16x² - 44x + 30

$\rule{300}{1.5}$

$\textbf{\small{\underline{Method II}}}$

Multiply the second parenthesis by each term from the first parenthesis.

$\longrightarrow$ 4x(4x - 6) - 5(4x - 6)

Distribute 4x through the parenthesis

$\longrightarrow$ 16x² - 24x - 5(4x - 6)

Distribute -5 through the parenthesis

$\longrightarrow$ 16x² - 24x - 20x + 30

Collect like terms

$\longrightarrow$ 16x² - 44x + 30

(4x-5)(4x-6) = 16x² - 44x + 30

Answer 2

Answer:-

=(4x−5)(4x−6)

=(4x-5)(4x-6)

=4x × 4x + 4x × (- 6) - 5 × 4x -5 × (- 6)

=16x² - 24x - 20x + 30

Separating the like Terms:-

=16x² - 44x + 30

=(4x-5)(4x-6) = 16x² - 44x + 30