Question

2a2 + 7ab-15b2 factories​

Answer 1

Answer:

Step-by-step explanation:

2a²+10ab-3ab-15b²

2a(a+5b) - 3b(a+5b)

(2a-3b) (a+5b)

Answer 2

GIVEN :-

• 2a² + 7ab - 15b².

TO FACTORIES :-

• 2a² + 7ab - 15b².

FACTORISATION :-

➣ 2a² + 7ab - 15b².

By splitting the middle term,

➣ 2a² + 10ab - 3ab - 15b²

➣ 2a(a + 5b) - 3b(a + 5b)

➣ (a + 5b) (2a -3b)

Hence the answer is (a + 5b) (2a -3b)

ADDITIONAL INFORMATION :-

➺ ( x + y )² = x² + 2xy + y²

➺ ( x - y )² = x² - 2xy + y²

➺ ( x + y )² = x² + 2xy + y²

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

➺ ( a + b ) ( a + b ) = ( a + b )²

➺( a - b ) ( a - b ) = ( a - b )²