Simplify $(2.5 - 1.5 q)^{2} - (1.5 - 2.5 q)^{2}$

Open in App

Solution

${(2.5 - 1.5 q)}^{2} - {(1.5 - 2.5 q)}^{2}$ is of the form $a^{2} - b^{2} = (a - b) (a + b)$

$= (2.5 - 1.5 q - 1.5 + 2.5 q) (2.5 - 1.5 q + 1.5 - 2.5 q)$

$= (1 + q) (4 - 4 q)$

$= 4 (1 + q) (1 - q)$

$= 4 (1 - q^{2})$

Suggest Corrections

Similar questions

(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}

Question 4(v)
Simplify:
$(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}

Question 4(v)
Simplify:
$(2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

Question 84 (vi)

Simplify

$(2.5 m + 1.5 q)^{2} + (2.5 m - 1.5 q)^{2}$

Join BYJU'S Learning Program