Question

Hi guys!! I am from Malaysia..I love math and forensic. let's try this question.

Answer 1

Step-by-step explanation:

1) 16y^2-49=(4y)^2-7^2

By using identity,

a^2-b^2=(a+b)(a-b)

(4y)^2-7^2=(4y+7)(4y-7)

2) (m+3)^2-16=(m+3)^2-4^2

By using identity,

a^2-b^2=(a+b)(a-b)

(m+3)^2-4^2=(m+3+4)(m+3-4)

3) b^2-81=b^2-9^2

By using identity,

a^2-b^2=(a+b)(a-b)

b^2-9^2=(b+9)(b-9)

4) x^2+9x+14

Product=14

Sum=9

x^2+9x+14=x^2+2x+7x+14

=x(x+2)+7(x+2)

=(x+2)(x+7)

5) x^2-5x-24

Product= -24

Sum= -5

x^2-5x-24=x^2+3x-8x-24

=x(x+3)-8(x+3)

=(x+3)(x-8)

6) m^2+11m-26

Product= -26

Sum=11

m^2+11m-26=m^2-2m+13m-26

=m(m-2)+13(m-2)

=(m-2)(m+13)