Question

find the product of (x^2+3)(x^2+4)​

Answer 1

Answer:

( x^2 + 3 ) ( x^2 + 4 )

= (x^2)^2 + (3+4) x^2 + ( 3*4)

= x^2 + 7 x^2 + 12

IDENTITY USED :

(A+B)(A+C)

= A^2 + (B+C)A + (B*C)

Answer 2

GIVEN :-

• (x² + 3) (x² + 4)

TO FIND :-

• The product of (x² + 3) (x² + 4).

SOLUTION :-

➣ (x² + 3) (x² + 4).

➣ x²(x² + 4) + 3(x² + 4)

➣ x⁴ + 4x² + 3x² + 12

➣ x⁴ + 7x² + 12

Hence the product is x⁴ + 7x² + 12

ADDITIONAL INFORMATION :-

◉ ( x + y )² = x² + 2xy + y²

◉ ( x - y )² = x² - 2xy + y²

◉ ( a + b ) ( a + b ) = ( a + b )²

◉ ( a - b ) ( a - b ) = ( a - b )²

◉ ( x + a ) ( x + b ) = x² + x ( a + b ) + ab

◉ ( a + b ) ( a - b ) = a² - b²