Question

find product of (4x+7)(4x-3)​

Answer 1

Answer:

$\huge{\boxed{\rm{\red{16x²+16x-21}}}}$

Step-by-step explanation:

Used formula:-

(x+a)(x+b)=x²+(a+b)x+ab

Answer 2

The product is $\bf \red{(4x + 7)(4x - 3) = 16{x}^{2} + 16x - 21}$

Given:

• An algebriac expression.
• $(4x + 7)(4x - 3)$

To find:

• Find the product.

Solution:

Concept\Formula to be used:

$\bf (ax + b)(ax + c) = {a}^{2} {x}^{2} + (ac + ab)x + cb$

Step 1:

Algebraic expression is $(4x + 7)(4x - 3)$

here,

$a = 4$

$b = 7$

and

$c = - 3$

Step 2:

Find the product.

$(4x + 7)(4x - 3) = {4}^{2} {x}^{2} + (7 \times 4 - 4 \times 3)x + (7)( - 3)$

or

$(4x + 7)(4x - 3) = {4}^{2} {x}^{2} + (28 - 12)x - 21$

or

$(4x + 7)(4x - 3) = 16{x}^{2} + 16x - 21$

Thus,

The product is

$\bf {(4x + 7)(4x - 3) = 16{x}^{2} + 16x - 21}$

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