Question

3. Simplify (2X+7) (5X+9) - (4X2+1) (X-3) ​

Answer 1

Answer:

(2x + 7) (5x + 9) - (4x² + 1) (x – 3)

= 2x(5x + 9) + 7(5x + 9)   - 4x²(x - 3)  - 1(x - 3)

= 10x² + 18x + 35x + 63 - 4x³  + 12x²  - x  + 3

=  -4x³  + 10x²  + 12x²  + 53x - x + 63 + 3

= -4x³ + 22x² + 52x + 66

(2x + 7) (5x + 9) - (4x² + 1) (x – 3)  = -4x³ + 22x² + 52x + 66

Step-by-step explanation:

Answer 2

Answer:

$(2x + 7)(5x + 9) - ( {4x}^{2} + 1)(x - 3)$

$(2x(5x + 9) + 7(5x + 9)) - ( {4x}^{2} (x - 3) + 1(x - 3))$

$( {10x}^{2} + 18x + 35x + 63) - ( {4x}^{3} - {12x}^{2} + x - 3)$

$( {10x}^{2} + 53x + 63) - ( {4x}^{3} - {12x}^{2} + x - 3)$

${10x}^{2} + 53x + 63 - {4x}^{3} + {12x}^{2} - x + 3$

$- {4x}^{3} + {10x}^{2} + {12x}^{2} + 53x - x + 63 + 3$

$- {4x}^{3} + {22x}^{2} + 52x + 66$

${4x}^{3} - {22x}^{2} - 52x - 66$

Ans. 4x^3 - 22x^2 - 52x - 66

Hope it helps.