Answer:
Equations 1, 3, and 5 are the right Options.
Step-by-step explanation:
To find the equations which are true we will factorize all the equations.
1). x²+2x-24 = x²+6x-4x-24 = x(x+6)-4(x+6) = (x-4)(x+6)
2). x²-8x+15 = x²-3x-5x+15 = x(x-3)-5(x-3) = (x-5)(x-3)
3).3x²+4x+1 = 3x²+3x+x+1 = 3x(x+1)+1(x+1) = (x+1)(3x+1)
4).5x²-2x-3 = 5x²-5x+3x-3 = 5x(x-1)+1(x-3) = (x-3)(5x+1)
5). 4x²-49 = (2x+7)(2x-7)
Therefore options 1, option 3, option 5 are the correct options.
Answer:
Choices 1,3,4 and 5 are true.
Step-by-step explanation:
We have given equations. we have to factor them.
We use following formulas to solve this.
(a+b)(a-b) = a²-b²
We use method of factorization to find factors.
x²+2x-24 = x²+6x-4x-24 = x(x+6)-4(x+6)
x²+2x-24 = (x+6)(x-4)
x²-8x+15 = x²-5x-3x+15 = x(x-5)-3(x-5)
x²-8x+15 = (x-5)(x-3)
3x²+4x+1 = 3x²+3x+x+3 = 3x(x+1)+1(3x+1)
3x²+4x+1 = (3x+1)(x+1)
5x²-2x-3 = 5x²-5x+3x-3 = 5x(x-1)+3(x-1)
5x²-2x-3 = (5x+3)(x-1)
4x²-49 =(2x)²-(7)²
4x²-49 = (2x-7)(2x+7)
